51:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las inecuaciones lineales con :@0.744288:0.197213:0.910872:0.197213:0.910872:0.183767:0.744288:0.183767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos incógnitas proporcionan :@0.744288:0.210829:0.909050:0.210829:0.909050:0.197384:0.744288:0.197384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un marco matemático para :@0.744288:0.224445:0.900846:0.224445:0.900846:0.211000:0.744288:0.211000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver problemas reales, :@0.744288:0.238061:0.891280:0.238061:0.891280:0.224616:0.744288:0.224616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo, dos grupos en :@0.744288:0.251677:0.902306:0.251677:0.902306:0.238232:0.744288:0.238232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conflicto necesitan compartir :@0.744288:0.265294:0.911503:0.265294:0.911503:0.251848:0.744288:0.251848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos de agua y alimentos :@0.744288:0.278910:0.910032:0.278910:0.910032:0.265464:0.744288:0.265464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con ciertas restricciones para :@0.744288:0.292526:0.908280:0.292526:0.908280:0.279080:0.744288:0.279080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evitar tensiones.:@0.744288:0.306142:0.834002:0.306142:0.834002:0.292696:0.744288:0.292696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Inecuaciones::@0.744288:0.319758:0.827812:0.319758:0.827812:0.305892:0.744288:0.305892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Total de recursos no debe :@0.744288:0.333374:0.915390:0.333374:0.915390:0.319928:0.744288:0.319928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exceder el suministro :@0.768005:0.346990:0.890090:0.346990:0.890090:0.333544:0.768005:0.333544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disponible: :@0.768005:0.360606:0.832810:0.360606:0.832810:0.347160:0.768005:0.347160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x + y ≤ 500:@0.768005:0.374222:0.832780:0.374222:0.832780:0.360776:0.768005:0.360776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Mínimo de agua necesario: :@0.744288:0.387838:0.922920:0.387838:0.922920:0.374392:0.744288:0.374392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ≥ 200x :@0.768005:0.401454:0.818789:0.401454:0.818789:0.388008:0.768005:0.388008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Mínimo de alimentos :@0.744288:0.415070:0.891278:0.415070:0.891278:0.401624:0.744288:0.401624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesario: y ≥ 150 :@0.768005:0.428686:0.871600:0.428686:0.871600:0.415240:0.768005:0.415240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una distribución justa de :@0.744285:0.445876:0.886721:0.445876:0.886721:0.432430:0.744285:0.432430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos que prevenga :@0.744285:0.459492:0.875936:0.459492:0.875936:0.446047:0.744285:0.446047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conflictos y asegure que :@0.744285:0.473108:0.883201:0.473108:0.883201:0.459663:0.744285:0.459663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambos grupos reciban lo :@0.744285:0.486724:0.887304:0.486724:0.887304:0.473279:0.744285:0.473279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesario.:@0.744285:0.500341:0.800254:0.500341:0.800254:0.486895:0.744285:0.486895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de paz:@0.744288:0.162476:0.851042:0.162476:0.851042:0.147070:0.744288:0.147070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.073089:0.707599:0.136907:0.707599:0.136907:0.691166:0.073089:0.691166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.874533:0.077120:0.874533:0.077120:0.858100:0.073089:0.858100:0.000000
2:@0.081199:0.734210:0.090181:0.734210:0.090181:0.718497:0.081199:0.718497:0.000000
3:@0.081401:0.753598:0.090384:0.753598:0.090384:0.737885:0.081401:0.737885:0.000000
x:@0.091605:0.742680:0.099502:0.742680:0.104716:0.726967:0.096819:0.726967:0.000000
2:@0.116758:0.742681:0.125741:0.742681:0.125741:0.726968:0.116758:0.726968:0.000000
x:@0.134329:0.734209:0.142226:0.734209:0.147440:0.718496:0.139543:0.718496:0.000000
8:@0.159481:0.734210:0.168464:0.734210:0.168464:0.718497:0.159481:0.718497:0.000000
y:@0.168582:0.734209:0.176681:0.734209:0.181895:0.718496:0.173796:0.718496:0.000000
4:@0.153573:0.753594:0.162555:0.753594:0.162555:0.737881:0.153573:0.737881:0.000000
<:@0.192112:0.743360:0.202218:0.743360:0.202218:0.727745:0.192112:0.727745:0.000000
3:@0.204666:0.742681:0.213649:0.742681:0.213649:0.726968:0.204666:0.726968:0.000000
y:@0.212979:0.742680:0.221078:0.742680:0.226292:0.726967:0.218192:0.726967:0.000000
5:@0.238915:0.742681:0.247898:0.742681:0.247898:0.726968:0.238915:0.726968:0.000000
2:@0.081202:0.773371:0.090185:0.773371:0.090185:0.757659:0.081202:0.757659:0.000000
3:@0.081404:0.792759:0.090387:0.792759:0.090387:0.777046:0.081404:0.777046:0.000000
x:@0.091605:0.781842:0.099502:0.781842:0.104716:0.766130:0.096819:0.766130:0.000000
x:@0.117438:0.773371:0.125335:0.773371:0.130549:0.757659:0.122652:0.757659:0.000000
8:@0.142592:0.773371:0.151575:0.773371:0.151575:0.757659:0.142592:0.757659:0.000000
y:@0.151691:0.773371:0.159790:0.773371:0.165004:0.757659:0.156905:0.757659:0.000000
2:@0.136681:0.792755:0.145664:0.792755:0.145664:0.777043:0.136681:0.777043:0.000000
<:@0.168006:0.782522:0.178111:0.782522:0.178111:0.766906:0.168006:0.766906:0.000000
3:@0.180559:0.781842:0.189542:0.781842:0.189542:0.766130:0.180559:0.766130:0.000000
y:@0.188870:0.781842:0.196969:0.781842:0.202183:0.766130:0.194084:0.766130:0.000000
5:@0.214808:0.781842:0.223791:0.781842:0.223791:0.766130:0.214808:0.766130:0.000000
4:@0.081927:0.810092:0.090909:0.810092:0.090909:0.794379:0.081927:0.794379:0.000000
x:@0.090664:0.810090:0.098561:0.810090:0.103775:0.794378:0.095878:0.794378:0.000000
3:@0.115817:0.810090:0.124800:0.810090:0.124800:0.794378:0.115817:0.794378:0.000000
x:@0.123400:0.810090:0.131296:0.810090:0.136510:0.794378:0.128613:0.794378:0.000000
+:@0.136317:0.810770:0.146422:0.810770:0.146422:0.795154:0.136317:0.795154:0.000000
24:@0.148134:0.810090:0.165897:0.810090:0.165897:0.794378:0.148134:0.794378:0.000000:0.000000
y:@0.166385:0.810090:0.174484:0.810090:0.179698:0.794378:0.171599:0.794378:0.000000
6:@0.125491:0.829474:0.134474:0.829474:0.134474:0.813762:0.125491:0.813762:0.000000
<:@0.182700:0.819241:0.192805:0.819241:0.192805:0.803625:0.182700:0.803625:0.000000
3:@0.195253:0.818561:0.204236:0.818561:0.204236:0.802849:0.195253:0.802849:0.000000
y:@0.203566:0.818561:0.211665:0.818561:0.216879:0.802849:0.208780:0.802849:0.000000
5:@0.229502:0.818561:0.238485:0.818561:0.238485:0.802849:0.229502:0.802849:0.000000
x:@0.078950:0.846810:0.086847:0.846810:0.092061:0.831097:0.084164:0.831097:0.000000
+:@0.091867:0.847489:0.101972:0.847489:0.101972:0.831874:0.091867:0.831874:0.000000
24:@0.103684:0.846810:0.121447:0.846810:0.121447:0.831097:0.103684:0.831097:0.000000:0.000000
y:@0.121935:0.846810:0.130035:0.846810:0.135248:0.831097:0.127149:0.831097:0.000000
<:@0.136787:0.847489:0.146892:0.847489:0.146892:0.831874:0.136787:0.831874:0.000000
18:@0.148181:0.846810:0.165944:0.846810:0.165944:0.831097:0.148181:0.831097:0.000000:0.000000
y:@0.166070:0.846810:0.174169:0.846810:0.179383:0.831097:0.171284:0.831097:0.000000
30:@0.192009:0.846810:0.209772:0.846810:0.209772:0.831097:0.192009:0.831097:0.000000:0.000000
x:@0.078950:0.867612:0.086847:0.867612:0.092061:0.851899:0.084164:0.851899:0.000000
+:@0.091867:0.868291:0.101972:0.868291:0.101972:0.852676:0.091867:0.852676:0.000000
6:@0.104052:0.867612:0.113035:0.867612:0.113035:0.851899:0.104052:0.851899:0.000000
y:@0.113150:0.867612:0.121249:0.867612:0.126463:0.851899:0.118364:0.851899:0.000000
<:@0.128001:0.868291:0.138107:0.868291:0.138107:0.852676:0.128001:0.852676:0.000000
30:@0.150487:0.867612:0.168250:0.867612:0.168250:0.851899:0.150487:0.851899:0.000000:0.000000
Cambio el signo de la :@0.073089:0.894749:0.233676:0.894749:0.233676:0.878316:0.073089:0.878316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación por “=”::@0.073089:0.911391:0.209240:0.911391:0.209240:0.894957:0.073089:0.894957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073089:0.935175:0.080544:0.935175:0.080544:0.918769:0.073089:0.918769:0.000000
 + 6  = –30:@0.080470:0.935175:0.161388:0.935175:0.161388:0.918741:0.080470:0.918741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.108155:0.935175:0.115628:0.935175:0.115628:0.918769:0.108155:0.918769:0.000000
Graficamos la recta con :@0.293645:0.707598:0.467120:0.707598:0.467120:0.691164:0.293645:0.691164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una línea punteada.:@0.293645:0.724240:0.437508:0.724240:0.437508:0.707806:0.293645:0.707806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.366250:0.752372:0.371150:0.752372:0.371150:0.743408:0.366250:0.743408:0.000000
y:@0.383559:0.741835:0.387977:0.741835:0.387977:0.732871:0.383559:0.732871:0.000000
x:@0.483742:0.782547:0.488049:0.782547:0.488049:0.773583:0.483742:0.773583:0.000000
5:@0.412114:0.782547:0.417014:0.782547:0.417014:0.773583:0.412114:0.773583:0.000000
–5:@0.332163:0.782547:0.342083:0.782547:0.342083:0.773583:0.332163:0.773583:0.000000:0.000000
–5:@0.361290:0.811579:0.371210:0.811579:0.371210:0.802615:0.361290:0.802615:0.000000:0.000000
10:@0.447868:0.782547:0.457667:0.782547:0.457667:0.773583:0.447868:0.773583:0.000000:0.000000
–10:@0.293658:0.782547:0.308478:0.782547:0.308478:0.773583:0.293658:0.773583:0.000000:0.000000:0.000000
–10:@0.356390:0.847269:0.371210:0.847269:0.371210:0.838305:0.356390:0.838305:0.000000:0.000000:0.000000
0:@0.366250:0.769763:0.371150:0.769763:0.371150:0.760799:0.366250:0.760799:0.000000
0:@0.378851:0.782547:0.383750:0.782547:0.383750:0.773583:0.378851:0.773583:0.000000
La solución de la :@0.293660:0.896082:0.418461:0.896082:0.418461:0.879648:0.293660:0.879648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación es la parte :@0.293660:0.912723:0.455907:0.912723:0.455907:0.896290:0.293660:0.896290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreada.:@0.293660:0.929365:0.378970:0.929365:0.378970:0.912931:0.293660:0.912931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la :@0.537943:0.707599:0.654755:0.707599:0.654755:0.691165:0.537943:0.691165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
región:@0.654571:0.707599:0.704061:0.707599:0.704061:0.690929:0.654571:0.690929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.704050:0.707599:0.708081:0.707599:0.708081:0.691165:0.704050:0.691165:0.000000
solución, tomando los :@0.537943:0.724241:0.702844:0.724241:0.702844:0.707807:0.537943:0.707807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos::@0.537943:0.740883:0.592734:0.740883:0.592734:0.724449:0.537943:0.724449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (0, 1) :@0.537943:0.768245:0.589686:0.768245:0.589686:0.751811:0.537943:0.751811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 + 6(1) < –30:@0.537943:0.788464:0.638925:0.788464:0.638925:0.772031:0.537943:0.772031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 < – 30, falso:@0.537943:0.808684:0.637103:0.808684:0.637103:0.792250:0.537943:0.792250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No satisface.:@0.537943:0.828904:0.627579:0.828904:0.627579:0.812470:0.537943:0.812470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(1, –10):@0.537943:0.856266:0.599736:0.856266:0.599736:0.839832:0.537943:0.839832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 + 6(–10) < –30:@0.537943:0.876486:0.656964:0.876486:0.656964:0.860052:0.537943:0.860052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 – 60 < –30:@0.537943:0.896706:0.627549:0.896706:0.627549:0.880272:0.537943:0.880272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   – 59 < –30:@0.537943:0.916925:0.626555:0.916925:0.626555:0.900492:0.537943:0.900492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Satisface la inecuación.:@0.537943:0.937145:0.704087:0.937145:0.704087:0.920711:0.537943:0.920711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073086:0.264621:0.149458:0.264621:0.149458:0.247951:0.073086:0.247951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Encontrar el conjunto solución de la inecuación: :@0.073089:0.288388:0.469754:0.288388:0.469754:0.271718:0.073089:0.271718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.553077:0.288388:0.556887:0.288388:0.556887:0.271718:0.553077:0.271718:0.000000
Solución:@0.073089:0.320397:0.139742:0.320397:0.139742:0.303727:0.073089:0.303727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cambiamos el signo de la desigualdad por “=” y graficamos.    :@0.073089:0.344181:0.518636:0.344181:0.518636:0.327747:0.073089:0.327747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como la inecuación tiene el símbolo ≥, repre-:@0.073089:0.393444:0.407228:0.393444:0.407228:0.377011:0.073089:0.377011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentamos la recta con una línea continua para :@0.073081:0.410086:0.411502:0.410086:0.411502:0.393653:0.073081:0.393653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indicar que los puntos de la recta pertenecen :@0.073081:0.426728:0.411309:0.426728:0.411309:0.410294:0.073081:0.410294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la solución.:@0.073081:0.443370:0.166056:0.443370:0.166056:0.426936:0.073081:0.426936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 4,   = 0; (4, 0), sí pertenece a la recta.:@0.073081:0.470732:0.376202:0.470732:0.376202:0.454298:0.073081:0.454298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.089261:0.470732:0.096716:0.470732:0.096716:0.454326:0.089261:0.454326:0.000000
y:@0.131414:0.470732:0.138887:0.470732:0.138887:0.454326:0.131414:0.454326:0.000000
Si   = 0,   = –2; (0, –2), sí pertenece.:@0.073081:0.490952:0.325772:0.490952:0.325772:0.474518:0.073081:0.474518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.089261:0.490952:0.096716:0.490952:0.096716:0.474546:0.089261:0.474546:0.000000
y:@0.131414:0.490952:0.138887:0.490952:0.138887:0.474546:0.131414:0.474546:0.000000
Si la inecuación presenta los signos “≥, ≤”, se representa con una :@0.088479:0.147602:0.574501:0.147602:0.574501:0.131168:0.088479:0.131168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta continua:@0.575902:0.147602:0.687697:0.147602:0.687697:0.130932:0.575902:0.130932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.687697:0.147602:0.694931:0.147602:0.694931:0.131168:0.687697:0.131168:0.000000:0.000000
Esto quiere decir que los puntos de la recta también :@0.085128:0.164244:0.461094:0.164244:0.461094:0.147810:0.085128:0.147810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son soluciones:@0.460047:0.164244:0.571834:0.164244:0.571834:0.147574:0.460047:0.147574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la inecuación.:@0.571834:0.164244:0.695936:0.164244:0.695936:0.147810:0.571834:0.147810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la inecuación presenta los signos “>, <”, se representa con una :@0.085128:0.188028:0.574392:0.188028:0.574392:0.171594:0.085128:0.171594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea punteada:@0.576104:0.188028:0.692714:0.188028:0.692714:0.171358:0.576104:0.171358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.692714:0.188028:0.699948:0.188028:0.699948:0.171594:0.692714:0.171594:0.000000:0.000000
Esto quiere decir que los puntos de la recta :@0.085128:0.204669:0.410124:0.204669:0.410124:0.188236:0.085128:0.188236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no forman parte de las soluciones:@0.410807:0.204669:0.672209:0.204669:0.672209:0.188000:0.410807:0.188000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de :@0.672227:0.204669:0.699948:0.204669:0.699948:0.188236:0.672227:0.188236:0.000000:0.000000:0.000000:0.000000
la inecuación.:@0.085128:0.221311:0.185318:0.221311:0.185318:0.204877:0.085128:0.204877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.440433:0.412922:0.450353:0.412922:0.450353:0.403958:0.440433:0.403958:0.000000:0.000000
–1:@0.470082:0.412922:0.480002:0.412922:0.480002:0.403958:0.470082:0.403958:0.000000:0.000000
–1:@0.490936:0.435487:0.500856:0.435487:0.500856:0.426523:0.490936:0.426523:0.000000:0.000000
–2:@0.490936:0.464534:0.500856:0.464534:0.500856:0.455570:0.490936:0.455570:0.000000:0.000000
–3:@0.490936:0.492054:0.500856:0.492054:0.500856:0.483090:0.490936:0.483090:0.000000:0.000000
1:@0.531890:0.412922:0.536790:0.412922:0.536790:0.403958:0.531890:0.403958:0.000000
1:@0.494199:0.377384:0.499098:0.377384:0.499098:0.368420:0.494199:0.368420:0.000000
y:@0.512412:0.366847:0.516830:0.366847:0.516830:0.357883:0.512412:0.357883:0.000000
x:@0.698047:0.412385:0.702355:0.412385:0.702355:0.403421:0.698047:0.403421:0.000000
2:@0.561539:0.412922:0.566439:0.412922:0.566439:0.403958:0.561539:0.403958:0.000000
3:@0.591188:0.412922:0.596088:0.412922:0.596088:0.403958:0.591188:0.403958:0.000000
4:@0.620837:0.412922:0.625737:0.412922:0.625737:0.403958:0.620837:0.403958:0.000000
5:@0.650928:0.412922:0.655828:0.412922:0.655828:0.403958:0.650928:0.403958:0.000000
6:@0.680577:0.412922:0.685477:0.412922:0.685477:0.403958:0.680577:0.403958:0.000000
0:@0.507221:0.411658:0.512121:0.411658:0.512121:0.402695:0.507221:0.402695:0.000000
0:@0.495886:0.401212:0.500785:0.401212:0.500785:0.392248:0.495886:0.392248:0.000000
Continua. :@0.746150:0.577220:0.816485:0.575832:0.815958:0.560683:0.745623:0.562071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Línea que no :@0.816383:0.575834:0.906230:0.574061:0.905711:0.559127:0.815864:0.560899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene interrupciones.:@0.746667:0.592344:0.882480:0.589664:0.881961:0.574729:0.746148:0.577409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Región. :@0.747442:0.614614:0.803053:0.613516:0.802526:0.598367:0.746915:0.599465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Espacio :@0.802962:0.613518:0.856943:0.612453:0.856423:0.597518:0.802443:0.598583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
limitado que cumple :@0.747967:0.629737:0.889755:0.626940:0.889236:0.612005:0.747448:0.614803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una determinada :@0.748493:0.644861:0.866213:0.642539:0.865693:0.627604:0.747974:0.629926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condición o :@0.749019:0.659985:0.831321:0.658361:0.830802:0.643426:0.748500:0.645050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunstancia.:@0.749544:0.675109:0.839119:0.673341:0.838600:0.658407:0.749025:0.660174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.799205:0.554126:0.858825:0.554126:0.858825:0.538720:0.799205:0.538720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (2, –3); 2  – 4  ≥ 8:@0.313424:0.549273:0.456265:0.549273:0.456265:0.532839:0.313424:0.532839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.387072:0.549273:0.394527:0.549273:0.394527:0.532866:0.387072:0.532866:0.000000
y:@0.420776:0.549273:0.428249:0.549273:0.428249:0.532866:0.420776:0.532866:0.000000
2(2) – 4(–3) ≥ 8:@0.313424:0.573057:0.423353:0.573057:0.423353:0.556623:0.313424:0.556623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 ≥ 8, verdadero:@0.313424:0.596840:0.441316:0.596840:0.441316:0.580407:0.313424:0.580407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Satisface la inecuación, la solución es la parte sombreada. :@0.313424:0.620641:0.689702:0.620641:0.689702:0.604207:0.313424:0.604207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomamos un punto sobre o bajo la recta.:@0.073089:0.521909:0.370681:0.521909:0.370681:0.505476:0.073089:0.505476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (5, 2); 2  – 4  ≥ 8:@0.073089:0.549271:0.205142:0.549271:0.205142:0.532837:0.073089:0.532837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136649:0.549271:0.144104:0.549271:0.144104:0.532865:0.136649:0.532865:0.000000
y:@0.169948:0.549271:0.177421:0.549271:0.177421:0.532865:0.169948:0.532865:0.000000
2(5) – 4(2) ≥ 8:@0.073070:0.573055:0.172764:0.573055:0.172764:0.556621:0.073070:0.556621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 ≥ 8, falso:@0.073070:0.596839:0.150234:0.596839:0.150234:0.580405:0.073070:0.580405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No satisface la inecuación.:@0.073070:0.620623:0.262886:0.620623:0.262886:0.604189:0.073070:0.604189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Hallar el conjunto solución de la inecuación: :@0.073089:0.663383:0.439868:0.663383:0.439868:0.646713:0.073089:0.646713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.443241:0.654459:0.452224:0.654459:0.452224:0.638746:0.443241:0.638746:0.000000
3:@0.443443:0.673847:0.452426:0.673847:0.452426:0.658134:0.443443:0.658134:0.000000
x:@0.453648:0.662929:0.461545:0.662929:0.466759:0.647216:0.458862:0.647216:0.000000
2:@0.478800:0.662930:0.487783:0.662930:0.487783:0.647217:0.478800:0.647217:0.000000
1:@0.498680:0.654457:0.507663:0.654457:0.507663:0.638744:0.498680:0.638744:0.000000
4:@0.497889:0.673844:0.506871:0.673844:0.506871:0.658132:0.497889:0.658132:0.000000
x:@0.509026:0.662929:0.516923:0.662929:0.522136:0.647216:0.514240:0.647216:0.000000
2:@0.534179:0.662930:0.543162:0.662930:0.543162:0.647217:0.534179:0.647217:0.000000
y:@0.542912:0.662929:0.551011:0.662929:0.556225:0.647216:0.548126:0.647216:0.000000
<:@0.564980:0.663610:0.575085:0.663610:0.575085:0.647994:0.564980:0.647994:0.000000
3:@0.577533:0.662930:0.586516:0.662930:0.586516:0.647217:0.577533:0.647217:0.000000
y:@0.585846:0.662929:0.593945:0.662929:0.599159:0.647216:0.591060:0.647216:0.000000
5:@0.611783:0.662930:0.620765:0.662930:0.620765:0.647217:0.611783:0.647217:0.000000
. :@0.621468:0.663383:0.629181:0.663383:0.629181:0.646713:0.621468:0.646713:0.000000:0.000000
(Ev.) Grafica inecuaciones lineales con dos incógnitas.:@0.075616:0.971423:0.355385:0.971423:0.355385:0.959471:0.075616:0.959471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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