﻿20:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.136836:0.297691:0.136836:0.297691:0.120402:0.293660:0.120402:0.000000
Solución:@0.323781:0.136836:0.389915:0.136836:0.389915:0.120167:0.323781:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.389808:0.136836:0.393011:0.136836:0.393011:0.120402:0.389808:0.120402:0.000000
 :@0.293660:0.178197:0.297691:0.178197:0.297691:0.161764:0.293660:0.161764:0.000000
x :@0.326065:0.171653:0.336834:0.171653:0.336834:0.156218:0.326065:0.156218:0.000000:0.000000
1   :@0.336835:0.171098:0.370353:0.171098:0.370353:0.157383:0.336835:0.157383:0.000000:0.000000:0.000000:0.000000
2:@0.356769:0.171653:0.365751:0.171653:0.365751:0.155940:0.356769:0.155940:0.000000
x :@0.325956:0.186850:0.336725:0.186850:0.336725:0.171415:0.325956:0.171415:0.000000:0.000000
1 :@0.336725:0.186295:0.356660:0.186295:0.356660:0.172580:0.336725:0.172580:0.000000:0.000000
3:@0.356660:0.186850:0.365643:0.186850:0.365643:0.171137:0.356660:0.171137:0.000000
x :@0.384396:0.171653:0.395164:0.171653:0.395164:0.156218:0.384396:0.156218:0.000000:0.000000
2   :@0.395164:0.171098:0.428684:0.171098:0.428684:0.157383:0.395164:0.157383:0.000000:0.000000:0.000000:0.000000
1:@0.415099:0.171653:0.424082:0.171653:0.424082:0.155940:0.415099:0.155940:0.000000
x :@0.384286:0.186850:0.395054:0.186850:0.395054:0.171415:0.384286:0.171415:0.000000:0.000000
2 :@0.395054:0.186295:0.414989:0.186295:0.414989:0.172580:0.395054:0.172580:0.000000:0.000000
2:@0.414989:0.186850:0.423972:0.186850:0.423972:0.171137:0.414989:0.171137:0.000000
2:@0.366017:0.178972:0.381351:0.178972:0.381351:0.165256:0.366017:0.165256:0.000000
, :@0.424755:0.178819:0.444690:0.178819:0.444690:0.165103:0.424755:0.165103:0.000000:0.000000
0:@0.444690:0.179374:0.453673:0.179374:0.453673:0.163661:0.444690:0.163661:0.000000
Restando:@0.594860:0.178197:0.667734:0.178197:0.667734:0.161764:0.594860:0.161764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.677224:0.167556:0.687992:0.167556:0.687992:0.152120:0.677224:0.152120:0.000000:0.000000
2   :@0.687992:0.167001:0.721512:0.167001:0.721512:0.153285:0.687992:0.153285:0.000000:0.000000:0.000000:0.000000
1:@0.707927:0.167556:0.716910:0.167556:0.716910:0.151843:0.707927:0.151843:0.000000
x :@0.677113:0.182755:0.687882:0.182755:0.687882:0.167320:0.677113:0.167320:0.000000:0.000000
2 :@0.687882:0.182200:0.707817:0.182200:0.707817:0.168485:0.687882:0.168485:0.000000:0.000000
2:@0.707817:0.182755:0.716799:0.182755:0.716799:0.167042:0.707817:0.167042:0.000000
 a ambos  miembros de  la :@0.716937:0.178197:0.930943:0.178197:0.930943:0.161764:0.716937:0.161764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desigualdad.:@0.594865:0.194839:0.687133:0.194839:0.687133:0.178406:0.594865:0.178406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.233447:0.297691:0.233447:0.297691:0.217013:0.293660:0.217013:0.000000
(:@0.326167:0.224960:0.331045:0.224960:0.331045:0.209247:0.326167:0.209247:0.000000
x :@0.331045:0.224960:0.341813:0.224960:0.341813:0.209524:0.331045:0.209524:0.000000:0.000000
1    2  2  1    2   :@0.341813:0.224405:0.549334:0.224405:0.549334:0.210689:0.341813:0.210689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2)(:@0.361749:0.224960:0.379254:0.224960:0.379254:0.209247:0.361749:0.209247:0.000000:0.000000:0.000000
x :@0.379254:0.224960:0.390022:0.224960:0.390022:0.209524:0.379254:0.209524:0.000000:0.000000
2) :@0.409955:0.224960:0.427847:0.224960:0.427847:0.209247:0.409955:0.209247:0.000000:0.000000:0.000000
(:@0.447083:0.224960:0.451961:0.224960:0.451961:0.209247:0.447083:0.209247:0.000000
x :@0.451961:0.224960:0.462729:0.224960:0.462729:0.209524:0.451961:0.209524:0.000000:0.000000
3)(:@0.482664:0.224960:0.500168:0.224960:0.500168:0.209247:0.482664:0.209247:0.000000:0.000000:0.000000
x :@0.500168:0.224960:0.510936:0.224960:0.510936:0.209524:0.500168:0.209524:0.000000:0.000000
1):@0.530871:0.224960:0.544732:0.224960:0.544732:0.209247:0.530871:0.209247:0.000000:0.000000
(:@0.385735:0.240159:0.390613:0.240159:0.390613:0.224447:0.385735:0.224447:0.000000
x :@0.390613:0.240159:0.401381:0.240159:0.401381:0.224724:0.390613:0.224724:0.000000:0.000000
1 :@0.401381:0.239605:0.421316:0.239605:0.421316:0.225889:0.401381:0.225889:0.000000:0.000000
3)(:@0.421316:0.240159:0.439576:0.240159:0.439576:0.224447:0.421316:0.224447:0.000000:0.000000:0.000000
x :@0.439576:0.240159:0.450344:0.240159:0.450344:0.224724:0.439576:0.224724:0.000000:0.000000
2 :@0.450344:0.239605:0.470279:0.239605:0.470279:0.225889:0.450344:0.225889:0.000000:0.000000
2):@0.470279:0.240159:0.484140:0.240159:0.484140:0.224447:0.470279:0.224447:0.000000:0.000000
, :@0.550900:0.231823:0.570835:0.231823:0.570835:0.218108:0.550900:0.218108:0.000000:0.000000
0:@0.570835:0.232378:0.579818:0.232378:0.579818:0.216665:0.570835:0.216665:0.000000
  Haciendo común denominador.:@0.579647:0.233447:0.827703:0.233447:0.827703:0.217013:0.579647:0.217013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.272521:0.297691:0.272521:0.297691:0.256088:0.293660:0.256088:0.000000
x  :@0.326167:0.263569:0.342200:0.263569:0.342200:0.248134:0.326167:0.248134:0.000000:0.000000:0.000000
:@0.333622:0.263569:0.338887:0.263569:0.338887:0.247856:0.333622:0.247856:0.000000
2  2  1  2 :@0.342200:0.263014:0.461753:0.263014:0.461753:0.249298:0.342200:0.249298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.362135:0.263569:0.371118:0.263569:0.371118:0.247856:0.362135:0.247856:0.000000
 :@0.371118:0.263569:0.374431:0.263569:0.374431:0.248134:0.371118:0.248134:0.000000
x:@0.394366:0.263569:0.401821:0.263569:0.401821:0.248134:0.394366:0.248134:0.000000
 :@0.401821:0.263569:0.411117:0.263569:0.411117:0.247856:0.401821:0.247856:0.000000:0.000000
x :@0.431052:0.263569:0.441820:0.263569:0.441820:0.248134:0.431052:0.248134:0.000000:0.000000
3:@0.461753:0.263569:0.470736:0.263569:0.470736:0.247856:0.461753:0.247856:0.000000
x :@0.470736:0.263569:0.481504:0.263569:0.481504:0.248134:0.470736:0.248134:0.000000:0.000000
1    :@0.481504:0.263014:0.519624:0.263014:0.519624:0.249298:0.481504:0.249298:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.501440:0.263569:0.510422:0.263569:0.510422:0.247856:0.501440:0.247856:0.000000
 :@0.447081:0.263014:0.451683:0.263014:0.451683:0.249298:0.447081:0.249298:0.000000
(:@0.369215:0.278767:0.374093:0.278767:0.374093:0.263054:0.369215:0.263054:0.000000
x :@0.374093:0.278767:0.384861:0.278767:0.384861:0.263332:0.374093:0.263332:0.000000:0.000000
1 :@0.384861:0.278212:0.404796:0.278212:0.404796:0.264497:0.384861:0.264497:0.000000:0.000000
3)(:@0.404796:0.278767:0.423056:0.278767:0.423056:0.263054:0.404796:0.263054:0.000000:0.000000:0.000000
x :@0.423056:0.278767:0.433825:0.278767:0.433825:0.263332:0.423056:0.263332:0.000000:0.000000
2 :@0.433825:0.278212:0.453760:0.278212:0.453760:0.264497:0.433825:0.264497:0.000000:0.000000
2):@0.453760:0.278767:0.467620:0.278767:0.467620:0.263054:0.453760:0.263054:0.000000:0.000000
, :@0.516205:0.270431:0.536141:0.270431:0.536141:0.256715:0.516205:0.256715:0.000000:0.000000
0:@0.536142:0.270986:0.545125:0.270986:0.545125:0.255273:0.536142:0.255273:0.000000
Distribuyendo.:@0.594870:0.272521:0.700984:0.272521:0.700984:0.256088:0.594870:0.256088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.307201:0.297691:0.307201:0.297691:0.290767:0.293660:0.290767:0.000000
2:@0.342900:0.302088:0.358233:0.302088:0.358233:0.288373:0.342900:0.288373:0.000000
2:@0.358233:0.302643:0.367216:0.302643:0.367216:0.286930:0.358233:0.286930:0.000000
x :@0.367216:0.302643:0.377984:0.302643:0.377984:0.287208:0.367216:0.287208:0.000000:0.000000
2    :@0.377982:0.302088:0.416104:0.302088:0.416104:0.288373:0.377982:0.288373:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.397917:0.302643:0.406900:0.302643:0.406900:0.286930:0.397917:0.286930:0.000000
 :@0.443530:0.302088:0.448132:0.302088:0.448132:0.288373:0.443530:0.288373:0.000000
(:@0.325540:0.317841:0.330418:0.317841:0.330418:0.302129:0.325540:0.302129:0.000000
x :@0.330418:0.317841:0.341186:0.317841:0.341186:0.302406:0.330418:0.302406:0.000000:0.000000
1 :@0.341186:0.317287:0.361121:0.317287:0.361121:0.303571:0.341186:0.303571:0.000000:0.000000
3)(:@0.361121:0.317841:0.379381:0.317841:0.379381:0.302129:0.361121:0.302129:0.000000:0.000000:0.000000
x :@0.379381:0.317841:0.390149:0.317841:0.390149:0.302406:0.379381:0.302406:0.000000:0.000000
2 :@0.390149:0.317287:0.410084:0.317287:0.410084:0.303571:0.390149:0.303571:0.000000:0.000000
2):@0.410084:0.317841:0.423945:0.317841:0.423945:0.302129:0.410084:0.302129:0.000000:0.000000
, :@0.429666:0.309505:0.449601:0.309505:0.449601:0.295790:0.429666:0.295790:0.000000:0.000000
0:@0.449601:0.310060:0.458584:0.310060:0.458584:0.294347:0.449601:0.294347:0.000000
Simplificando.:@0.594871:0.307201:0.697061:0.307201:0.697061:0.290767:0.594871:0.290767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.343945:0.297691:0.343945:0.297691:0.327511:0.293660:0.327511:0.000000
2:@0.350795:0.337322:0.359777:0.337322:0.359777:0.321610:0.350795:0.321610:0.000000
x :@0.359777:0.337322:0.370546:0.337322:0.370546:0.321887:0.359777:0.321887:0.000000:0.000000
1    :@0.370546:0.336768:0.408667:0.336768:0.408667:0.323052:0.370546:0.323052:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.390481:0.337322:0.399463:0.337322:0.399463:0.321610:0.390481:0.321610:0.000000
 :@0.443530:0.336768:0.448132:0.336768:0.448132:0.323052:0.443530:0.323052:0.000000
(:@0.325540:0.352521:0.330418:0.352521:0.330418:0.336808:0.325540:0.336808:0.000000
x :@0.330418:0.352521:0.341186:0.352521:0.341186:0.337085:0.330418:0.337085:0.000000:0.000000
1 :@0.341186:0.351966:0.361121:0.351966:0.361121:0.338250:0.341186:0.338250:0.000000:0.000000
3)(:@0.361121:0.352521:0.379381:0.352521:0.379381:0.336808:0.361121:0.336808:0.000000:0.000000:0.000000
x :@0.379381:0.352521:0.390149:0.352521:0.390149:0.337085:0.379381:0.337085:0.000000:0.000000
2 :@0.390149:0.351966:0.410084:0.351966:0.410084:0.338250:0.390149:0.338250:0.000000:0.000000
2):@0.410084:0.352521:0.423945:0.352521:0.423945:0.336808:0.410084:0.336808:0.000000:0.000000
. :@0.429666:0.344185:0.449601:0.344185:0.449601:0.330469:0.429666:0.330469:0.000000:0.000000
0:@0.449601:0.344739:0.458584:0.344739:0.458584:0.329027:0.449601:0.329027:0.000000
 :@0.458547:0.343945:0.462578:0.343945:0.462578:0.327511:0.458547:0.327511:0.000000
Multiplicando por  1 ambos miembros de la :@0.594871:0.343945:0.931061:0.343945:0.931061:0.327511:0.594871:0.327511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.729782:0.343390:0.745115:0.343390:0.745115:0.329675:0.729782:0.329675:0.000000
 :@0.926905:0.343945:0.930936:0.343945:0.930936:0.327511:0.926905:0.327511:0.000000
desigualdad.:@0.594865:0.360587:0.687133:0.360587:0.687133:0.344153:0.594865:0.344153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizando (tengamos en cuenta que la fracción está con factores).:@0.293660:0.393311:0.791748:0.393311:0.791748:0.376877:0.293660:0.376877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolviendo para los valores que satisfagan la desigualdad en los intervalos::@0.293660:0.426040:0.840298:0.426040:0.840298:0.409606:0.293660:0.409606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.293660:0.456343:0.307599:0.456343:0.307599:0.443874:0.293660:0.443874:0.000000
1:@0.388767:0.456343:0.402706:0.456343:0.402706:0.443874:0.388767:0.443874:0.000000
2:@0.680940:0.455763:0.694880:0.455763:0.694880:0.443294:0.680940:0.443294:0.000000
2:@0.410181:0.488936:0.422727:0.488936:0.422727:0.477714:0.410181:0.477714:0.000000
2:@0.422727:0.489390:0.430076:0.489390:0.430076:0.476534:0.422727:0.476534:0.000000
2:@0.298162:0.488936:0.310707:0.488936:0.310707:0.477714:0.298162:0.477714:0.000000
3:@0.310707:0.489390:0.318056:0.489390:0.318056:0.476534:0.310707:0.476534:0.000000
2:@0.462863:0.489061:0.475408:0.489061:0.475408:0.477839:0.462863:0.477839:0.000000
1/2:@0.475408:0.489515:0.495394:0.489515:0.495394:0.476659:0.475408:0.476659:0.000000:0.000000:0.000000
2:@0.528180:0.489061:0.540726:0.489061:0.540726:0.477839:0.528180:0.477839:0.000000
1:@0.540726:0.489515:0.548075:0.489515:0.548075:0.476659:0.540726:0.476659:0.000000
0:@0.646480:0.489390:0.653830:0.489390:0.653830:0.476534:0.646480:0.476534:0.000000
1:@0.758500:0.489390:0.765850:0.489390:0.765850:0.476534:0.758500:0.476534:0.000000
2:@0.867535:0.489390:0.874884:0.489390:0.874884:0.476534:0.867535:0.476534:0.000000
Respuesta: :@0.293660:0.535261:0.375105:0.535261:0.375105:0.518827:0.293660:0.518827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.513808:0.535261:0.517010:0.535261:0.517010:0.518827:0.513808:0.518827:0.000000
4.  Resolver la desigualdad   2    3     5    1 .:@0.293660:0.567985:0.656238:0.567985:0.656238:0.551315:0.293660:0.551315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.510066:0.567430:0.515183:0.567430:0.515183:0.553714:0.510066:0.553714:0.000000
x:@0.524460:0.567985:0.532578:0.567985:0.532578:0.551301:0.524460:0.551301:0.000000
1 | # |:@0.536333:0.567430:0.597813:0.567430:0.597813:0.553714:0.536333:0.553714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.607090:0.567985:0.615208:0.567985:0.615208:0.551301:0.607090:0.551301:0.000000
2 |:@0.618963:0.567430:0.652520:0.567430:0.652520:0.553714:0.618963:0.553714:0.000000:0.000000:0.000000
 :@0.293660:0.600708:0.297691:0.600708:0.297691:0.584275:0.293660:0.584275:0.000000
Tengamos en cuenta que para resolver la desigualdad no hay una propiedad para :@0.323774:0.600708:0.930636:0.600708:0.930636:0.584275:0.323774:0.584275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicar. Entonces, elevaremos al cuadrado ambos lados de la desigualdad :@0.323781:0.617350:0.931390:0.617350:0.931390:0.600916:0.323781:0.600916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
considerando la última propiedad de las desigualdades (al elevar al cuadrado ambos :@0.323781:0.633992:0.931123:0.633992:0.931123:0.617558:0.323781:0.617558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembros positivos de una desigualdad, se conserva el sentido de la desigualdad).:@0.323781:0.650634:0.921566:0.650634:0.921566:0.634200:0.323781:0.634200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.683358:0.297691:0.683358:0.297691:0.666924:0.293660:0.666924:0.000000
|:@0.323781:0.682803:0.328898:0.682803:0.328898:0.669087:0.323781:0.669087:0.000000
4    3:@0.328806:0.683358:0.377236:0.683358:0.377236:0.666924:0.328806:0.666924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.337715:0.683358:0.345170:0.683358:0.345170:0.666952:0.337715:0.666952:0.000000
2 | #|:@0.349054:0.682803:0.412320:0.682803:0.412320:0.669087:0.349054:0.669087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.382166:0.677294:0.389710:0.677294:0.389710:0.667713:0.382166:0.667713:0.000000:0.000000
 :@0.404900:0.677294:0.407250:0.677294:0.407250:0.667713:0.404900:0.667713:0.000000
5:@0.412228:0.683358:0.421211:0.683358:0.421211:0.666924:0.412228:0.666924:0.000000
x   :@0.421137:0.683358:0.450331:0.683358:0.450331:0.666952:0.421137:0.666952:0.000000:0.000000:0.000000:0.000000
1 |:@0.431776:0.682803:0.464284:0.682803:0.464284:0.669087:0.431776:0.669087:0.000000:0.000000:0.000000
1  :@0.450257:0.683358:0.473402:0.683358:0.473402:0.666924:0.450257:0.666924:0.000000:0.000000:0.000000
2:@0.464180:0.677294:0.469417:0.677294:0.469417:0.667713:0.464180:0.667713:0.000000
Elevando al cuadrado.:@0.548007:0.683358:0.707430:0.683358:0.707430:0.666924:0.548007:0.666924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4    3):@0.323774:0.716082:0.381804:0.716082:0.381804:0.699648:0.323774:0.699648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.337479:0.716082:0.344934:0.716082:0.344934:0.699676:0.337479:0.699676:0.000000
2:@0.348818:0.715527:0.364152:0.715527:0.364152:0.701811:0.348818:0.701811:0.000000
2 :@0.381710:0.710018:0.389255:0.710018:0.389255:0.700437:0.381710:0.700437:0.000000:0.000000
#:@0.389202:0.715527:0.404535:0.715527:0.404535:0.701811:0.389202:0.701811:0.000000
 :@0.404443:0.710018:0.406793:0.710018:0.406793:0.700437:0.404443:0.700437:0.000000
(5:@0.406748:0.716082:0.420535:0.716082:0.420535:0.699648:0.406748:0.699648:0.000000:0.000000
x   :@0.420443:0.716082:0.449636:0.716082:0.449636:0.699676:0.420443:0.699676:0.000000:0.000000:0.000000:0.000000
1:@0.431082:0.715527:0.446415:0.715527:0.446415:0.701811:0.431082:0.701811:0.000000
1)  :@0.449563:0.716082:0.472490:0.716082:0.472490:0.699648:0.449563:0.699648:0.000000:0.000000:0.000000:0.000000
2:@0.463270:0.710018:0.468506:0.710018:0.468506:0.700437:0.463270:0.700437:0.000000
Aplicando la última propiedad de valor absoluto.:@0.548015:0.716082:0.900887:0.716082:0.900887:0.699648:0.548015:0.699648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.323774:0.748806:0.332684:0.748806:0.332684:0.732372:0.323774:0.732372:0.000000
#:@0.336633:0.748251:0.351966:0.748251:0.351966:0.734535:0.336633:0.734535:0.000000
 (5:@0.351874:0.748806:0.369618:0.748806:0.369618:0.732372:0.351874:0.732372:0.000000:0.000000:0.000000
x   :@0.369526:0.748806:0.398720:0.748806:0.398720:0.732400:0.369526:0.732400:0.000000:0.000000:0.000000:0.000000
1:@0.380166:0.748251:0.395499:0.748251:0.395499:0.734535:0.380166:0.734535:0.000000
1)    (4    3)   :@0.398647:0.748806:0.511786:0.748806:0.511786:0.732372:0.398647:0.732372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.412347:0.742742:0.417584:0.742742:0.417584:0.733161:0.412347:0.733161:0.000000
2:@0.421493:0.748251:0.436827:0.748251:0.436827:0.734535:0.421493:0.734535:0.000000
x:@0.454387:0.748806:0.461842:0.748806:0.461842:0.732400:0.454387:0.732400:0.000000
2:@0.465726:0.748251:0.481059:0.748251:0.481059:0.734535:0.465726:0.734535:0.000000
2:@0.498608:0.742742:0.503845:0.742742:0.503845:0.733161:0.498608:0.733161:0.000000
Restando (4    3)  a ambos miembros de la  :@0.548012:0.748806:0.874551:0.748806:0.874551:0.732372:0.548012:0.732372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.633917:0.748806:0.641371:0.748806:0.641371:0.732400:0.633917:0.732400:0.000000
2:@0.645255:0.748251:0.660589:0.748251:0.660589:0.734535:0.645255:0.734535:0.000000
2:@0.678146:0.742742:0.683383:0.742742:0.683383:0.733161:0.678146:0.733161:0.000000
desigualdad.:@0.548018:0.765447:0.640286:0.765447:0.640286:0.749014:0.548018:0.749014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.798171:0.297691:0.798171:0.297691:0.781738:0.293660:0.781738:0.000000
F:@0.323781:0.798754:0.327867:0.798754:0.327867:0.781100:0.323781:0.781100:0.000000
(5:@0.327775:0.798171:0.341562:0.798171:0.341562:0.781738:0.327775:0.781738:0.000000:0.000000
x   :@0.341470:0.798171:0.370664:0.798171:0.370664:0.781765:0.341470:0.781765:0.000000:0.000000:0.000000:0.000000
1:@0.352110:0.797617:0.367443:0.797617:0.367443:0.783901:0.352110:0.783901:0.000000
1)   (4    3) (5    1)   (4    3):@0.370591:0.798171:0.612444:0.798171:0.612444:0.781738:0.370591:0.781738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.388243:0.797617:0.403577:0.797617:0.403577:0.783901:0.388243:0.783901:0.000000
x:@0.421137:0.798171:0.428592:0.798171:0.428592:0.781765:0.421137:0.781765:0.000000
2:@0.432476:0.797617:0.447809:0.797617:0.447809:0.783901:0.432476:0.783901:0.000000
GF:@0.465370:0.798754:0.473450:0.798754:0.473450:0.781100:0.465370:0.781100:0.000000:0.000000
x:@0.487053:0.798171:0.494508:0.798171:0.494508:0.781765:0.487053:0.781765:0.000000
1:@0.498392:0.797617:0.513726:0.797617:0.513726:0.783901:0.498392:0.783901:0.000000
2:@0.535225:0.797617:0.550558:0.797617:0.550558:0.783901:0.535225:0.783901:0.000000
x:@0.568119:0.798171:0.575574:0.798171:0.575574:0.781765:0.568119:0.781765:0.000000
2:@0.579458:0.797617:0.594791:0.797617:0.594791:0.783901:0.579458:0.783901:0.000000
G:@0.612352:0.798754:0.616438:0.798754:0.616438:0.781100:0.612352:0.781100:0.000000
 :@0.616351:0.792108:0.618701:0.792108:0.618701:0.782527:0.616351:0.782527:0.000000
$:@0.618654:0.797617:0.633987:0.797617:0.633987:0.783901:0.618654:0.783901:0.000000
 :@0.633895:0.792108:0.636245:0.792108:0.636245:0.782527:0.633895:0.782527:0.000000
0 Factorizando diferencia de cuadrados.:@0.636197:0.798171:0.923577:0.798171:0.923577:0.781738:0.636197:0.781738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.830265:0.296958:0.830265:0.296958:0.816819:0.293660:0.816819:0.000000
F:@0.323781:0.831478:0.327867:0.831478:0.327867:0.813824:0.323781:0.813824:0.000000
9    2    4    0 :@0.327775:0.830895:0.463614:0.830895:0.463614:0.814461:0.327775:0.814461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.336685:0.830895:0.344140:0.830895:0.344140:0.814489:0.336685:0.814489:0.000000
2:@0.348023:0.830341:0.363357:0.830341:0.363357:0.816625:0.348023:0.816625:0.000000
GF:@0.376113:0.831478:0.384194:0.831478:0.384194:0.813824:0.376113:0.813824:0.000000:0.000000
x:@0.384102:0.830895:0.391557:0.830895:0.391557:0.814489:0.384102:0.814489:0.000000
1:@0.395441:0.830341:0.410774:0.830341:0.410774:0.816625:0.395441:0.816625:0.000000
G:@0.423530:0.831478:0.427616:0.831478:0.427616:0.813824:0.423530:0.813824:0.000000
$:@0.431482:0.830341:0.446815:0.830341:0.446815:0.816625:0.431482:0.816625:0.000000
Resolvemos este producto de factores.:@0.548012:0.830895:0.828128:0.830895:0.828128:0.814461:0.548012:0.814461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.914018:0.861202:0.922982:0.861202:0.922982:0.848734:0.914018:0.848734:0.000000
1:@0.339184:0.861202:0.348148:0.861202:0.348148:0.848734:0.339184:0.848734:0.000000
2:@0.623219:0.860622:0.637158:0.860622:0.637158:0.848154:0.623219:0.848154:0.000000
2:@0.374886:0.893796:0.387432:0.893796:0.387432:0.882574:0.374886:0.882574:0.000000
4:@0.387432:0.894250:0.394781:0.894250:0.394781:0.881394:0.387432:0.881394:0.000000
2:@0.453502:0.893796:0.466047:0.893796:0.466047:0.882574:0.453502:0.882574:0.000000
3:@0.466047:0.894250:0.473397:0.894250:0.473397:0.881394:0.466047:0.881394:0.000000
2:@0.524512:0.893921:0.537058:0.893921:0.537058:0.882699:0.524512:0.882699:0.000000
2:@0.537058:0.894375:0.544407:0.894375:0.544407:0.881519:0.537058:0.881519:0.000000
2:@0.602872:0.893921:0.615417:0.893921:0.615417:0.882699:0.602872:0.882699:0.000000
1:@0.615417:0.894375:0.622767:0.894375:0.622767:0.881519:0.615417:0.881519:0.000000
0:@0.683822:0.894829:0.691171:0.894829:0.691171:0.881973:0.683822:0.881973:0.000000
1:@0.759670:0.894250:0.767019:0.894250:0.767019:0.881394:0.759670:0.881394:0.000000
2:@0.833180:0.894250:0.840530:0.894250:0.840530:0.881394:0.833180:0.881394:0.000000
2/9:@0.896555:0.894250:0.916540:0.894250:0.916540:0.881394:0.896555:0.881394:0.000000:0.000000:0.000000
Respuesta: :@0.293660:0.937063:0.375105:0.937063:0.375105:0.920629:0.293660:0.920629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.374965:0.937645:0.379051:0.937645:0.379051:0.919991:0.374965:0.919991:0.000000
2` 2:@0.378959:0.936508:0.428788:0.936508:0.428788:0.922792:0.378959:0.922792:0.000000:0.000000:0.000000:0.000000
,  4     , :@0.406386:0.937063:0.490301:0.937063:0.490301:0.920629:0.406386:0.920629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.437605:0.937645:0.441691:0.937645:0.441691:0.919991:0.437605:0.919991:0.000000
ø:@0.445557:0.936924:0.460890:0.936924:0.460890:0.922875:0.445557:0.922875:0.000000
F:@0.464756:0.937645:0.468842:0.937645:0.468842:0.919991:0.464756:0.919991:0.000000
2:@0.471029:0.929194:0.480012:0.929194:0.480012:0.913482:0.471029:0.913482:0.000000
9:@0.471029:0.944768:0.480012:0.944768:0.480012:0.929056:0.471029:0.929056:0.000000
` 5:@0.490213:0.936508:0.521726:0.936508:0.521726:0.922792:0.490213:0.922792:0.000000:0.000000:0.000000
F:@0.502398:0.937645:0.506485:0.937645:0.506485:0.919991:0.502398:0.919991:0.000000
 :@0.521634:0.937063:0.525665:0.937063:0.525665:0.920629:0.521634:0.920629:0.000000
R:@0.525592:0.936203:0.538882:0.936203:0.538882:0.923305:0.525592:0.923305:0.000000
 :@0.538790:0.937063:0.542103:0.937063:0.542103:0.920657:0.538790:0.920657:0.000000
2 2:@0.542029:0.936508:0.580556:0.936508:0.580556:0.922792:0.542029:0.922792:0.000000:0.000000:0.000000
G:@0.557270:0.937645:0.561357:0.937645:0.561357:0.919991:0.557270:0.919991:0.000000
   4,  .:@0.561265:0.937063:0.621992:0.937063:0.621992:0.920629:0.561265:0.920629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.602683:0.930335:0.611666:0.930335:0.611666:0.914622:0.602683:0.914622:0.000000
9:@0.602683:0.945909:0.611666:0.945909:0.611666:0.930196:0.602683:0.930196:0.000000
F:@0.614795:0.937645:0.618881:0.937645:0.618881:0.919991:0.614795:0.919991:0.000000
En procesos de :@0.082576:0.202047:0.186538:0.202047:0.186538:0.187107:0.082576:0.187107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manufactura, como la :@0.082576:0.217176:0.230697:0.217176:0.230697:0.202236:0.082576:0.202236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcción de piezas :@0.082576:0.232305:0.237680:0.232305:0.237680:0.217365:0.082576:0.217365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánicas o electrónicas, :@0.082576:0.247434:0.254245:0.247434:0.254245:0.232494:0.082576:0.232494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es crucial que las :@0.082576:0.262563:0.197303:0.262563:0.197303:0.247623:0.082576:0.247623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dimensiones de las :@0.082576:0.277692:0.212397:0.277692:0.212397:0.262752:0.082576:0.262752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piezas no superen ciertos :@0.082576:0.292821:0.253894:0.292821:0.253894:0.277881:0.082576:0.277881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límites. La desigualdad :@0.082576:0.307950:0.235478:0.307950:0.235478:0.293010:0.082576:0.293010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con valor absoluto puede :@0.082576:0.323079:0.255412:0.323079:0.255412:0.308139:0.082576:0.308139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representar el rango :@0.082576:0.338207:0.219464:0.338207:0.219464:0.323268:0.082576:0.323268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aceptable de variación :@0.082576:0.353336:0.235600:0.353336:0.235600:0.338397:0.082576:0.338397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las dimensiones. Al :@0.082576:0.368465:0.231718:0.368465:0.231718:0.353526:0.082576:0.353526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver la desigualdad, :@0.082576:0.383594:0.239839:0.383594:0.239839:0.368654:0.082576:0.368654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se establece si una :@0.082576:0.398723:0.209186:0.398723:0.209186:0.383783:0.082576:0.383783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pieza cumple con los :@0.082576:0.413852:0.226136:0.413852:0.226136:0.398912:0.082576:0.398912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estándares requeridos de :@0.082576:0.428981:0.252873:0.428981:0.252873:0.414041:0.082576:0.414041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tamaño y precisión. :@0.082576:0.444110:0.215252:0.444110:0.215252:0.429170:0.082576:0.429170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al resolver la desigualdad, :@0.082576:0.564636:0.256640:0.564636:0.256640:0.549696:0.082576:0.549696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se determina si una :@0.082576:0.579765:0.214788:0.579765:0.214788:0.564825:0.082576:0.564825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resistencia está dentro :@0.082576:0.594894:0.233780:0.594894:0.233780:0.579954:0.082576:0.579954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las especificaciones :@0.082576:0.610023:0.235507:0.610023:0.235507:0.595083:0.082576:0.595083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aceptables.:@0.082576:0.625152:0.156951:0.625152:0.156951:0.610212:0.082576:0.610212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.078576:0.141152:0.201985:0.141152:0.201985:0.125745:0.078576:0.125745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingeniería :@0.078576:0.156281:0.148326:0.156281:0.148326:0.141341:0.078576:0.141341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
industrial:@0.078576:0.171410:0.139531:0.171410:0.139531:0.156470:0.078576:0.156470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000