﻿37:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096353:0.353450:0.110579:0.353450:0.110579:0.336549:0.096353:0.336549:0.000000:0.000000
  Resolvamos las siguientes ecuaciones con valor absoluto.:@0.110579:0.353450:0.543957:0.353450:0.543957:0.337061:0.110579:0.337061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.096353:0.575316:0.110579:0.575316:0.110579:0.558415:0.096353:0.558415:0.000000:0.000000
  Empleemos la respectiva propiedad y resolvamos la inecuación.:@0.110579:0.575316:0.591760:0.575316:0.591760:0.558927:0.110579:0.558927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.096353:0.772232:0.110579:0.772232:0.110579:0.755331:0.096353:0.755331:0.000000:0.000000
  Resolvamos la siguiente inecuación con valor absoluto. :@0.110579:0.772232:0.532163:0.772232:0.532163:0.755843:0.110579:0.755843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.169771:0.157756:0.169771:0.157756:0.154193:0.102121:0.154193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planteamos la inecuación. :@0.157756:0.169771:0.334377:0.169771:0.334377:0.154872:0.157756:0.154872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| – 20| ≤ 3:@0.102121:0.184858:0.172917:0.184858:0.172917:0.169959:0.102121:0.169959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.105673:0.184858:0.115473:0.184858:0.115473:0.169985:0.105673:0.169985:0.000000:0.000000
Paso 2.:@0.401219:0.169771:0.453469:0.169771:0.453469:0.154193:0.401219:0.154193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la propiedad para resolver :@0.456853:0.169771:0.707550:0.169771:0.707550:0.154872:0.456853:0.154872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones –3 ≤   – 20 ≤ 3:@0.401219:0.184858:0.590923:0.184858:0.590923:0.169959:0.401219:0.169959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.526577:0.184858:0.533361:0.184858:0.533361:0.169985:0.526577:0.169985:0.000000
Paso 3.:@0.102121:0.206786:0.154372:0.206786:0.154372:0.191208:0.102121:0.191208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la inecuación lineal.:@0.154372:0.206786:0.371530:0.206786:0.371530:0.191887:0.154372:0.191887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3 + 20 ≤   ≤ 3 + 20:@0.102121:0.229002:0.235621:0.229002:0.235621:0.214103:0.102121:0.214103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.169667:0.229002:0.176452:0.229002:0.176452:0.214128:0.169667:0.214128:0.000000
17 ≤   ≤ 23:@0.102121:0.251219:0.176251:0.251219:0.176251:0.236320:0.102121:0.236320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.135794:0.251219:0.142578:0.251219:0.142578:0.236345:0.135794:0.236345:0.000000
Paso 4.:@0.401219:0.206786:0.453469:0.206786:0.453469:0.191208:0.401219:0.191208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Representamos la solución :@0.453469:0.206786:0.639587:0.206786:0.639587:0.191887:0.453469:0.191887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfi camente.:@0.401219:0.221873:0.492702:0.221873:0.492702:0.206974:0.401219:0.206974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 19 20 21 22 23 24:@0.522800:0.276873:0.679455:0.276873:0.679455:0.265497:0.522800:0.265497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 17:@0.475397:0.276873:0.513673:0.276873:0.513673:0.265497:0.475397:0.265497:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.452332:0.276873:0.466083:0.276873:0.466083:0.265497:0.452332:0.265497:0.000000:0.000000
14:@0.427177:0.276873:0.440927:0.276873:0.440927:0.265497:0.427177:0.265497:0.000000:0.000000
x:@0.689449:0.275134:0.694621:0.275134:0.694621:0.265250:0.689449:0.265250:0.000000
Paso 5.:@0.102121:0.303561:0.154372:0.303561:0.154372:0.287984:0.102121:0.287984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Respondemos la pregunta: :@0.154372:0.303561:0.341191:0.303561:0.341191:0.288662:0.154372:0.288662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La temperatura segura debe mantenerse entre 17 °C y 23 °C.:@0.102121:0.325778:0.503939:0.325778:0.503939:0.310879:0.102121:0.310879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096358:0.116965:0.251251:0.116965:0.251251:0.101601:0.096358:0.101601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresemos a nuestro problema inicial y respondamos las preguntas: :@0.110585:0.144572:0.635791:0.144572:0.635791:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|5  + 2| = 7:@0.124848:0.375732:0.204198:0.375732:0.204198:0.359343:0.124848:0.359343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137563:0.375732:0.145027:0.375732:0.145027:0.359371:0.137563:0.359371:0.000000
Aplicamos la propiedad:@0.124848:0.399451:0.296907:0.399451:0.296907:0.383062:0.124848:0.383062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  + 2 = 7  ó  5x + 2 = –7:@0.124848:0.423170:0.311673:0.423170:0.311673:0.406781:0.124848:0.406781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.133749:0.423170:0.141212:0.423170:0.141212:0.406809:0.133749:0.406809:0.000000
5x = 7 – 2  ó  5x = –7 – 2:@0.124848:0.439766:0.309904:0.439766:0.309904:0.423377:0.124848:0.423377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5x = 5 :@0.124848:0.456363:0.173276:0.456363:0.173276:0.439974:0.124848:0.439974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó  5x = –9:@0.205261:0.456363:0.283995:0.456363:0.283995:0.439974:0.205261:0.439974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.124848:0.489375:0.132311:0.489375:0.132311:0.473014:0.124848:0.473014:0.000000
 = 1 :@0.132219:0.489375:0.163933:0.489375:0.163933:0.472987:0.132219:0.472987:0.000000:0.000000:0.000000:0.000000:0.000000
ó :@0.205261:0.489375:0.219008:0.489375:0.219008:0.472987:0.205261:0.472987:0.000000:0.000000
x:@0.234318:0.488893:0.241781:0.488893:0.241781:0.472531:0.234318:0.472531:0.000000
=−:@0.246517:0.488478:0.270252:0.488478:0.270252:0.471536:0.246517:0.471536:0.000000:0.000000
5:@0.273790:0.480124:0.282783:0.480124:0.282783:0.463735:0.273790:0.463735:0.000000
9:@0.273371:0.499737:0.282364:0.499737:0.282364:0.483348:0.273371:0.483348:0.000000
El conjunto solución:@0.124851:0.513110:0.272623:0.513110:0.272623:0.496721:0.124851:0.496721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación es:  1, :@0.124851:0.539608:0.283356:0.539764:0.283356:0.523375:0.124851:0.523220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.301157:0.530996:0.310150:0.530996:0.310150:0.514607:0.301157:0.514607:0.000000
9:@0.300733:0.550607:0.309726:0.550607:0.309726:0.534218:0.300733:0.534218:0.000000
− :@0.286857:0.539349:0.321200:0.541706:0.321200:0.524763:0.286857:0.522407:0.000000:0.000000:0.000000
:@0.259640:0.531840:0.268743:0.531840:0.268743:0.514897:0.259640:0.514897:0.000000
:@0.259640:0.541701:0.268743:0.541701:0.268743:0.524758:0.259640:0.524758:0.000000
:@0.259640:0.551608:0.268743:0.551608:0.268743:0.534666:0.259640:0.534666:0.000000
:@0.312096:0.531845:0.321200:0.531845:0.321200:0.514902:0.312096:0.514902:0.000000
:@0.312096:0.551608:0.321200:0.551608:0.321200:0.534666:0.312096:0.534666:0.000000
|4x – 5| < 3 :@0.124851:0.599367:0.206818:0.599367:0.206818:0.582978:0.124851:0.582978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilizamos la primera propiedad.:@0.268922:0.599367:0.503967:0.599367:0.503967:0.582978:0.268922:0.582978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3 < 4  – 5 < 3 :@0.124851:0.623086:0.235546:0.623086:0.235546:0.606697:0.124851:0.606697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.170552:0.623086:0.178015:0.623086:0.178015:0.606724:0.170552:0.606724:0.000000
Resolvemos la inecuación lineal.:@0.268924:0.623086:0.500910:0.623086:0.500910:0.606697:0.268924:0.606697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3 + 5 < 4x < 3 + 5:@0.124851:0.646805:0.261492:0.646805:0.261492:0.630416:0.124851:0.630416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 < 4  < 8:@0.124851:0.670524:0.196572:0.670524:0.196572:0.654135:0.124851:0.654135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.161430:0.670524:0.168893:0.670524:0.168893:0.654162:0.161430:0.654162:0.000000
1/2 <   < 2 :@0.124851:0.694243:0.206983:0.694243:0.206983:0.677854:0.124851:0.677854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.167806:0.694243:0.175269:0.694243:0.175269:0.677881:0.167806:0.677881:0.000000
Solución en forma de intervalo: (1/2, 2):@0.124851:0.717962:0.404784:0.717962:0.404784:0.701573:0.124851:0.701573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráficamente:@0.124851:0.741681:0.223163:0.741681:0.223163:0.725292:0.124851:0.725292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154290:0.741681:0.158325:0.741681:0.158325:0.725292:0.154290:0.725292:0.000000
|x – 1| ≥ 2  Utilizamos la segunda propiedad.:@0.124851:0.794457:0.446779:0.794457:0.446779:0.778068:0.124851:0.778068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – 1 ≤ –2  ó  x – 1 ≥ 2:@0.124851:0.818176:0.291885:0.818176:0.291885:0.801787:0.124851:0.801787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ≤ – 2 + 1 ó  x ≥ 2 + 1:@0.124851:0.841895:0.293654:0.841895:0.293654:0.825506:0.124851:0.825506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ≤ –1 :@0.124851:0.865614:0.173500:0.865614:0.173500:0.849225:0.124851:0.849225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó  x ≥ 3:@0.205264:0.865614:0.265976:0.865614:0.265976:0.849225:0.205264:0.849225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución en forma de intervalo: (–∞, –1] U [3, +∞):@0.124851:0.889333:0.480706:0.889333:0.480706:0.872944:0.124851:0.872944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráficamente:@0.124851:0.913052:0.223163:0.913052:0.223163:0.896663:0.124851:0.896663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154290:0.913052:0.158325:0.913052:0.158325:0.896663:0.154290:0.896663:0.000000
|  + 7| = |  – 3|:@0.416413:0.375661:0.518871:0.375661:0.518871:0.359273:0.416413:0.359273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.420228:0.375661:0.427691:0.375661:0.427691:0.359300:0.420228:0.359300:0.000000
x:@0.481684:0.375661:0.489147:0.375661:0.489147:0.359300:0.481684:0.359300:0.000000
Aplicamos la propiedad:@0.416413:0.399380:0.588472:0.399380:0.588472:0.382991:0.416413:0.382991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416413:0.423099:0.423877:0.423099:0.423877:0.406738:0.416413:0.406738:0.000000
 + 7 =   – 3  ó   + 7 = –(  – 3):@0.423785:0.423099:0.651311:0.423099:0.651311:0.406710:0.423785:0.406710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.470241:0.423099:0.477704:0.423099:0.477704:0.406738:0.470241:0.406738:0.000000
x:@0.545407:0.423099:0.552870:0.423099:0.552870:0.406738:0.545407:0.406738:0.000000
x:@0.613147:0.423099:0.620610:0.423099:0.620610:0.406738:0.613147:0.406738:0.000000
x x:@0.416413:0.439696:0.448256:0.439696:0.448256:0.423335:0.416413:0.423335:0.000000:0.000000:0.000000
 –   = –3 – 7  ó   + 7 = –  + 3:@0.423785:0.439696:0.643497:0.439696:0.643497:0.423307:0.423785:0.423307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545407:0.439696:0.552870:0.439696:0.552870:0.423335:0.545407:0.423335:0.000000
x:@0.608356:0.439696:0.615819:0.439696:0.615819:0.423335:0.608356:0.423335:0.000000
0 ≠ –10 :@0.416413:0.456292:0.475050:0.456292:0.475050:0.439903:0.416413:0.439903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó   +   = 3 – 7:@0.521954:0.456292:0.632607:0.456292:0.632607:0.439903:0.521954:0.439903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545407:0.456292:0.552870:0.456292:0.552870:0.439931:0.545407:0.439931:0.000000
x:@0.571556:0.456292:0.579019:0.456292:0.579019:0.439931:0.571556:0.439931:0.000000
 :@0.416413:0.472889:0.420449:0.472889:0.420449:0.456500:0.416413:0.456500:0.000000
       2  = –4:@0.521949:0.472889:0.614345:0.472889:0.614345:0.456500:0.521949:0.456500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570082:0.472889:0.577545:0.472889:0.577545:0.456527:0.570082:0.456527:0.000000
 :@0.416413:0.489485:0.420449:0.489485:0.420449:0.473096:0.416413:0.473096:0.000000
           = –2:@0.521949:0.489485:0.613331:0.489485:0.613331:0.473096:0.521949:0.473096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.569063:0.489485:0.576526:0.489485:0.576526:0.473124:0.569063:0.473124:0.000000
La primera ecuación no tiene solución, :@0.416413:0.513204:0.700625:0.513204:0.700625:0.496815:0.416413:0.496815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la única solución de la ecuación es: {–2}:@0.416413:0.529800:0.700752:0.529800:0.700752:0.513411:0.416413:0.513411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una inecuación es una :@0.754827:0.152609:0.909870:0.152609:0.909870:0.137710:0.754827:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desigualdad de dos :@0.754827:0.167696:0.889332:0.167696:0.889332:0.152797:0.754827:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades, tal que la una :@0.754827:0.182784:0.927911:0.182784:0.927911:0.167885:0.754827:0.167885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es mayor que la otra. :@0.754827:0.197872:0.896685:0.197872:0.896685:0.182972:0.754827:0.182972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los símbolos  <, >, ≥ y ≤ :@0.754827:0.212959:0.916369:0.212959:0.916369:0.198060:0.754827:0.198060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se denominan signos :@0.754827:0.228047:0.900990:0.228047:0.900990:0.213148:0.754827:0.213148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la desigualdad.:@0.754827:0.243134:0.875275:0.243134:0.875275:0.228235:0.754827:0.228235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ley de tricotomía:@0.754827:0.261780:0.875945:0.261780:0.875945:0.246667:0.754827:0.246667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  , :@0.754827:0.280426:0.806073:0.280426:0.806073:0.265527:0.754827:0.265527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.791062:0.280426:0.814499:0.280426:0.814499:0.265552:0.791062:0.265552:0.000000:0.000000:0.000000
 :@0.818168:0.280954:0.848406:0.280954:0.848406:0.264949:0.818168:0.264949:0.000000:0.000000:0.000000
, se cumple :@0.848406:0.280426:0.927712:0.280426:0.927712:0.265527:0.848406:0.265527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo una de las siguientes :@0.754827:0.295514:0.928730:0.295514:0.928730:0.280614:0.754827:0.280614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones::@0.754827:0.310601:0.825020:0.310601:0.825020:0.295702:0.754827:0.295702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.754827:0.329247:0.763253:0.329247:0.763253:0.314373:0.754827:0.314373:0.000000
 >   o   =   o   < :@0.763253:0.329247:0.881425:0.329247:0.881425:0.314348:0.763253:0.314348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b a:@0.780575:0.329247:0.813678:0.329247:0.813678:0.314373:0.780575:0.314373:0.000000:0.000000:0.000000
b a:@0.831000:0.329247:0.864103:0.329247:0.864103:0.314373:0.831000:0.314373:0.000000:0.000000:0.000000
b:@0.881425:0.329247:0.889851:0.329247:0.889851:0.314373:0.881425:0.314373:0.000000
Comprueba la ley de :@0.754827:0.347893:0.887940:0.347893:0.887940:0.333019:0.754827:0.333019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricotomía con un par :@0.754827:0.362980:0.896249:0.362980:0.896249:0.348106:0.754827:0.348106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números.:@0.754827:0.378068:0.832523:0.378068:0.832523:0.363194:0.754827:0.363194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.761432:0.120167:0.897493:0.120167:0.897493:0.103266:0.761432:0.103266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–∞ –3:@0.240651:0.921947:0.290281:0.921947:0.290281:0.907048:0.240651:0.907048:0.000000:0.000000:0.000000:0.000000:0.000000
∞:@0.580222:0.921947:0.592166:0.921947:0.592166:0.907048:0.580222:0.907048:0.000000
–2:@0.316465:0.921947:0.333017:0.921947:0.333017:0.907048:0.316465:0.907048:0.000000:0.000000
–1:@0.360390:0.921947:0.376941:0.921947:0.376941:0.907048:0.360390:0.907048:0.000000:0.000000
0:@0.407314:0.921947:0.415489:0.921947:0.415489:0.907048:0.407314:0.907048:0.000000
1:@0.450049:0.921947:0.458224:0.921947:0.458224:0.907048:0.450049:0.907048:0.000000
2:@0.492784:0.921947:0.500959:0.921947:0.500959:0.907048:0.492784:0.907048:0.000000
3:@0.535520:0.921947:0.543695:0.921947:0.543695:0.907048:0.535520:0.907048:0.000000
–∞:@0.240651:0.746844:0.260971:0.746844:0.260971:0.731945:0.240651:0.731945:0.000000:0.000000
∞:@0.580222:0.746844:0.592166:0.746844:0.592166:0.731945:0.580222:0.731945:0.000000
–3:@0.283056:0.746844:0.299607:0.746844:0.299607:0.731945:0.283056:0.731945:0.000000:0.000000
–2:@0.325791:0.746844:0.342343:0.746844:0.342343:0.731945:0.325791:0.731945:0.000000:0.000000
–1:@0.369716:0.746844:0.386268:0.746844:0.386268:0.731945:0.369716:0.731945:0.000000:0.000000
0:@0.416640:0.746844:0.424815:0.746844:0.424815:0.731945:0.416640:0.731945:0.000000
1:@0.459375:0.746844:0.467550:0.746844:0.467550:0.731945:0.459375:0.731945:0.000000
2:@0.502110:0.746844:0.510286:0.746844:0.510286:0.731945:0.502110:0.731945:0.000000
3:@0.544846:0.746844:0.553021:0.746844:0.553021:0.731945:0.544846:0.731945:0.000000
1:@0.438748:0.744215:0.445172:0.744215:0.445172:0.732918:0.438748:0.732918:0.000000
2:@0.438748:0.754017:0.445172:0.754017:0.445172:0.742721:0.438748:0.742721:0.000000
Las inecuaciones se aplican :@0.754293:0.470696:0.933074:0.470696:0.933074:0.455797:0.754293:0.455797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la vida cotidiana; por :@0.754293:0.485783:0.916573:0.485783:0.916573:0.470884:0.754293:0.470884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, al ir de compras, :@0.754293:0.500871:0.928229:0.500871:0.928229:0.485972:0.754293:0.485972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controlar la velocidad de :@0.754293:0.515959:0.922520:0.515959:0.922520:0.501060:0.754293:0.501060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un auto o, simplemente, :@0.754293:0.531046:0.920021:0.531046:0.920021:0.516147:0.754293:0.516147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la relación de nuestro :@0.754293:0.546134:0.922132:0.546134:0.922132:0.531235:0.754293:0.531235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
peso con nuestra altura.:@0.754293:0.561221:0.913859:0.561221:0.913859:0.546322:0.754293:0.546322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la diferencia entre :@0.754293:0.699110:0.924108:0.699110:0.924108:0.684236:0.754293:0.684236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones y ecuaciones?:@0.754293:0.714197:0.927663:0.714197:0.927663:0.699323:0.754293:0.699323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.788896:0.438255:0.897453:0.438255:0.897453:0.421354:0.788896:0.421354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.925149:0.610484:0.925149:0.567658:0.913238:0.567658:0.913238:0.610484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000