28:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000
Una :@0.115209:0.167757:0.149024:0.167757:0.149024:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000
ecuación de primer grado:@0.149632:0.167757:0.355653:0.167757:0.355653:0.150856:0.149632:0.150856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (ecuación lineal) con una incógnita es una igualdad que involucra una :@0.355653:0.167757:0.883899:0.167757:0.883899:0.151368:0.355653:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable a la primera potencia, de forma que la igualdad se satisface para ciertos valores de la variable.:@0.115209:0.184353:0.857598:0.184353:0.857598:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones de primer grado cumplen con las siguientes propiedades: Si   =  , entonces :@0.115209:0.208072:0.790097:0.208072:0.790097:0.191683:0.115209:0.191683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.673119:0.208072:0.682388:0.208072:0.682388:0.191711:0.673119:0.191711:0.000000
b:@0.701442:0.208072:0.710711:0.208072:0.710711:0.191711:0.701442:0.191711:0.000000
c:@0.805743:0.206820:0.813408:0.206820:0.813408:0.190458:0.805743:0.190458:0.000000
a cb cy ac bc:@0.856271:0.206820:1.020185:0.206820:1.020185:0.190458:0.856271:0.190458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.833697:0.207691:0.847002:0.207691:0.847002:0.190943:0.833697:0.190943:0.000000
∀∈:@0.792714:0.207497:0.830362:0.207497:0.830362:0.191924:0.792714:0.191924:0.000000:0.000000
±= ±:@0.867567:0.207497:0.925264:0.207497:0.925264:0.191924:0.867567:0.191924:0.000000:0.000000:0.000000:0.000000
⋅ =⋅:@0.963944:0.207497:1.010363:0.207497:1.010363:0.191924:0.963944:0.191924:0.000000:0.000000:0.000000:0.000000
::@0.849748:0.206820:0.852954:0.206820:0.852954:0.190431:0.849748:0.190431:0.000000
.:@0.935602:0.206820:0.938809:0.206820:0.938809:0.190431:0.935602:0.190431:0.000000
.:@0.948852:0.206820:0.952058:0.206820:0.952058:0.190431:0.948852:0.190431:0.000000
c:@0.067889:0.230545:0.075554:0.230545:0.075554:0.214184:0.067889:0.214184:0.000000
a cb cy ac bc:@0.118417:0.230545:0.282331:0.230545:0.282331:0.214184:0.118417:0.214184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.095843:0.231416:0.109148:0.231416:0.109148:0.214668:0.095843:0.214668:0.000000
∀∈:@0.054860:0.231223:0.092508:0.231223:0.092508:0.215650:0.054860:0.215650:0.000000:0.000000
±= ±:@0.129716:0.231223:0.187413:0.231223:0.187413:0.215650:0.129716:0.215650:0.000000:0.000000:0.000000:0.000000
⋅ =⋅:@0.226093:0.231223:0.272527:0.231223:0.272527:0.215650:0.226093:0.215650:0.000000:0.000000:0.000000:0.000000
::@0.111912:0.230545:0.115118:0.230545:0.115118:0.214156:0.111912:0.214156:0.000000
.:@0.197766:0.230545:0.200973:0.230545:0.200973:0.214156:0.197766:0.214156:0.000000
.:@0.211016:0.230545:0.214222:0.230545:0.214222:0.214156:0.211016:0.214156:0.000000
Una:@0.115209:0.260556:0.144988:0.260556:0.144988:0.244167:0.115209:0.244167:0.000000:0.000000:0.000000
 inecuación de primer grado:@0.144988:0.260556:0.363796:0.260556:0.363796:0.243931:0.144988:0.243931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es una desigualdad entre dos expresiones algebraicas de una sola in-:@0.363796:0.260556:0.879963:0.260556:0.879963:0.244167:0.363796:0.244167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cógnita, que solo se verifica para cierto conjunto de valores de esa incógnita. La desigualdad se expresa :@0.115209:0.277152:0.883940:0.277152:0.883940:0.260763:0.115209:0.260763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los símbolos <, ≤, > o ≥.:@0.115209:0.293748:0.321672:0.293748:0.321672:0.277359:0.115209:0.277359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las desigualdades:@0.115209:0.330069:0.457581:0.330069:0.457581:0.308559:0.115209:0.308559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades:@0.239384:0.358746:0.330149:0.358746:0.330149:0.343381:0.239384:0.343381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.537661:0.358746:0.604151:0.358746:0.604151:0.343381:0.537661:0.343381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   <  ;     +   <   + :@0.122329:0.380916:0.275038:0.380916:0.275038:0.364527:0.122329:0.364527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.138766:0.380916:0.148035:0.380916:0.148035:0.364554:0.138766:0.364554:0.000000
b a:@0.167089:0.380916:0.200941:0.380916:0.200941:0.364554:0.167089:0.364554:0.000000:0.000000:0.000000
c:@0.219995:0.380916:0.227661:0.380916:0.227661:0.364554:0.219995:0.364554:0.000000
b:@0.246715:0.380916:0.255984:0.380916:0.255984:0.364554:0.246715:0.364554:0.000000
c:@0.275038:0.380916:0.282704:0.380916:0.282704:0.364554:0.275038:0.364554:0.000000
5 < 7,  5 + 3 < 7 + 3:@0.460605:0.380916:0.602055:0.380916:0.602055:0.364527:0.460605:0.364527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   <    y    <  ,    < :@0.122329:0.402297:0.276199:0.402297:0.276199:0.385908:0.122329:0.385908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.138766:0.402297:0.148035:0.402297:0.148035:0.385936:0.138766:0.385936:0.000000
b:@0.167089:0.402297:0.176358:0.402297:0.176358:0.385936:0.167089:0.385936:0.000000
b:@0.200609:0.402297:0.209878:0.402297:0.209878:0.385936:0.200609:0.385936:0.000000
c a:@0.228932:0.402297:0.257145:0.402297:0.257145:0.385936:0.228932:0.385936:0.000000:0.000000:0.000000
c:@0.276199:0.402297:0.283865:0.402297:0.283865:0.385936:0.276199:0.385936:0.000000
–2 < 0  y  0 < 6,  –2 < 6:@0.460605:0.402297:0.625679:0.402297:0.625679:0.385908:0.460605:0.385908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   <    y    > 0,    < :@0.122329:0.423679:0.283589:0.423679:0.283589:0.407290:0.122329:0.407290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.138766:0.423679:0.148035:0.423679:0.148035:0.407318:0.138766:0.407318:0.000000
b:@0.167089:0.423679:0.176358:0.423679:0.176358:0.407318:0.167089:0.407318:0.000000
c:@0.200609:0.423679:0.208275:0.423679:0.208275:0.407318:0.200609:0.407318:0.000000
ac:@0.247600:0.423679:0.264535:0.423679:0.264535:0.407318:0.247600:0.407318:0.000000:0.000000
bc:@0.283589:0.423679:0.300524:0.423679:0.300524:0.407318:0.283589:0.407318:0.000000:0.000000
4 < 7,  4(2) < 7(2):@0.460605:0.423679:0.583480:0.423679:0.583480:0.407290:0.460605:0.407290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   <    y    < 0,    > :@0.122329:0.445061:0.283589:0.445061:0.283589:0.428672:0.122329:0.428672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.138766:0.445061:0.148035:0.445061:0.148035:0.428699:0.138766:0.428699:0.000000
b:@0.167089:0.445061:0.176358:0.445061:0.176358:0.428699:0.167089:0.428699:0.000000
c:@0.200609:0.445061:0.208275:0.445061:0.208275:0.428699:0.200609:0.428699:0.000000
ac:@0.247600:0.445061:0.264535:0.445061:0.264535:0.428699:0.247600:0.428699:0.000000:0.000000
bc:@0.283589:0.445061:0.300524:0.445061:0.300524:0.428699:0.283589:0.428699:0.000000:0.000000
–4 < 2,  –4(–3) > 2(–3):@0.460605:0.445061:0.620335:0.445061:0.620335:0.428672:0.460605:0.428672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   >   > 0  ó  0 >   >  ;  :@0.122329:0.477991:0.307268:0.477991:0.307268:0.461602:0.122329:0.461602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.138766:0.477991:0.148035:0.477991:0.148035:0.461629:0.138766:0.461629:0.000000
b:@0.167089:0.477991:0.176358:0.477991:0.176358:0.461629:0.167089:0.461629:0.000000
a:@0.258398:0.477991:0.267667:0.477991:0.267667:0.461629:0.258398:0.461629:0.000000
b:@0.286721:0.477991:0.295991:0.477991:0.295991:0.461629:0.286721:0.461629:0.000000
a:@0.311714:0.489157:0.320983:0.489157:0.320983:0.472795:0.311714:0.472795:0.000000
b:@0.339559:0.489157:0.348828:0.489157:0.348828:0.472795:0.339559:0.472795:0.000000
1:@0.312654:0.469711:0.321647:0.469711:0.321647:0.453322:0.312654:0.453322:0.000000
1:@0.340719:0.469711:0.349712:0.469711:0.349712:0.453322:0.340719:0.453322:0.000000
<:@0.325431:0.478912:0.335548:0.478912:0.335548:0.463339:0.325431:0.463339:0.000000
4 > 3,  :@0.460605:0.479873:0.508922:0.479873:0.508922:0.463484:0.460605:0.463484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.513581:0.469709:0.522573:0.469709:0.522573:0.453320:0.513581:0.453320:0.000000
3:@0.513004:0.489157:0.521997:0.489157:0.521997:0.472768:0.513004:0.472768:0.000000
1:@0.541222:0.469709:0.550215:0.469709:0.550215:0.453320:0.541222:0.453320:0.000000
4:@0.540437:0.489157:0.549429:0.489157:0.549429:0.472768:0.540437:0.472768:0.000000
<:@0.525569:0.478912:0.535686:0.478912:0.535686:0.463339:0.525569:0.463339:0.000000
Ecuaciones e inecuaciones de primer grado en :@0.115891:0.141978:0.808183:0.141978:0.808183:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.811978:0.146655:0.848263:0.146655:0.848263:0.100978:0.811978:0.100978:0.000000
M.4.1.38. Resolver ecuaciones de primer grado con una incógnita en   para resolver problemas sencillos. :@0.125388:0.064786:0.615585:0.064786:0.615585:0.054357:0.125388:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.445814:0.064241:0.454281:0.064241:0.454281:0.056056:0.445814:0.056056:0.000000
M.4.1.39. Representar un intervalo en   de manera algebraica y gráfica, y reconocer el intervalo como la solución de una inecuación de primer grado con una :@0.125388:0.075348:0.877702:0.075348:0.877702:0.064918:0.125388:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.303280:0.074802:0.311747:0.074802:0.311747:0.066617:0.303280:0.066617:0.000000
incógnita en  .:@0.125388:0.085909:0.197061:0.085909:0.197061:0.075480:0.125388:0.075480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.186671:0.085363:0.195138:0.085363:0.195138:0.077178:0.186671:0.077178:0.000000
Actividad resuelta:@0.115354:0.514014:0.272476:0.514014:0.272476:0.495577:0.115354:0.495577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos:@0.115354:0.533860:0.206792:0.533860:0.206792:0.517236:0.115354:0.517236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente ecuación: 3  + 5 = x – 1. :@0.206792:0.533860:0.491626:0.533860:0.491626:0.517471:0.206792:0.517471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.387565:0.533860:0.395028:0.533860:0.395028:0.517499:0.387565:0.517499:0.000000
Restamos:@0.115354:0.550456:0.189636:0.550456:0.189636:0.533832:0.115354:0.533832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – 5 y –  a los dos miembros de la ecua-:@0.189636:0.550456:0.487646:0.550456:0.487646:0.534068:0.189636:0.534068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.242855:0.550456:0.253948:0.550456:0.253948:0.534095:0.242855:0.534095:0.000000:0.000000
ción. Luego :@0.115354:0.567053:0.209536:0.567053:0.209536:0.550664:0.115354:0.550664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividimos:@0.214198:0.567053:0.289567:0.567053:0.289567:0.550429:0.214198:0.550429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para 2 y :@0.289567:0.567053:0.369138:0.567053:0.369138:0.550664:0.289567:0.550664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
despejamos:@0.373800:0.567053:0.466583:0.567053:0.466583:0.550429:0.373800:0.550429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la  :@0.466583:0.567053:0.491609:0.567053:0.491609:0.550664:0.466583:0.550664:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita :@0.115354:0.583649:0.188807:0.583649:0.188807:0.567260:0.115354:0.567260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para  resolver  ecuaciones :@0.115354:0.607368:0.305470:0.607368:0.305470:0.590979:0.115354:0.590979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleamos:@0.308936:0.607368:0.399269:0.607368:0.399269:0.590744:0.308936:0.590744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  las  propie-:@0.399269:0.607368:0.487574:0.607368:0.487574:0.590979:0.399269:0.590979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dades mencionadas hasta aislar en un miembro la :@0.115354:0.623965:0.491609:0.623965:0.491609:0.607576:0.115354:0.607576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita. :@0.115354:0.640561:0.192013:0.640561:0.192013:0.624172:0.115354:0.624172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  – 5 – 5 –    =    –   – 5 – 1 :@0.115354:0.664280:0.325042:0.664280:0.325042:0.647891:0.115354:0.647891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.124347:0.664280:0.131810:0.664280:0.131810:0.647919:0.124347:0.647919:0.000000
x:@0.201651:0.664280:0.209114:0.664280:0.209114:0.647919:0.201651:0.647919:0.000000
x x:@0.236239:0.664280:0.268451:0.664280:0.268451:0.647919:0.236239:0.647919:0.000000:0.000000:0.000000
2  = – 6:@0.115354:0.687999:0.173106:0.687999:0.173106:0.671610:0.115354:0.671610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.124347:0.687999:0.131810:0.687999:0.131810:0.671638:0.124347:0.671638:0.000000
x:@0.129698:0.712015:0.137161:0.712015:0.137161:0.695653:0.129698:0.695653:0.000000
x:@0.202266:0.720534:0.209729:0.720534:0.209729:0.704173:0.202266:0.704173:0.000000
2:@0.119452:0.712015:0.128445:0.712015:0.128445:0.695626:0.119452:0.695626:0.000000
2:@0.124568:0.731463:0.133561:0.731463:0.133561:0.715074:0.124568:0.715074:0.000000
–6:@0.157182:0.712015:0.175388:0.712015:0.175388:0.695626:0.157182:0.695626:0.000000:0.000000
2:@0.161790:0.731463:0.170783:0.731463:0.170783:0.715074:0.161790:0.715074:0.000000
–3.:@0.226810:0.720540:0.248020:0.720540:0.248020:0.704151:0.226810:0.704151:0.000000:0.000000:0.000000
=:@0.142681:0.721218:0.081704:0.721218:0.081704:0.705645:0.142681:0.705645:0.000000
=:@0.213775:0.721218:0.152798:0.721218:0.152798:0.705645:0.213775:0.705645:0.000000
Verificamos:@0.115354:0.758095:0.204230:0.758095:0.204230:0.741471:0.115354:0.741471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el resultado en la ecuación inicial::@0.204230:0.758095:0.453186:0.758095:0.453186:0.741706:0.204230:0.741706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 –3  + 5 –  –3  – 1:@0.115354:0.781814:0.256915:0.781814:0.256915:0.765425:0.115354:0.765425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.124347:0.782491:0.154826:0.782491:0.154826:0.766918:0.124347:0.766918:0.000000:0.000000:0.000000
( ):@0.200158:0.782491:0.230637:0.782491:0.230637:0.766918:0.200158:0.766918:0.000000:0.000000:0.000000
–9 + 5 = – 4;     –4 = –4:@0.115354:0.805533:0.281756:0.805533:0.281756:0.789144:0.115354:0.789144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto solución es: :@0.115354:0.829252:0.291963:0.829252:0.291963:0.812863:0.115354:0.812863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.115354:0.852971:0.123425:0.852971:0.123425:0.836609:0.115354:0.836609:0.000000
 =       /   = –3 o simplemente:@0.123425:0.852971:0.376932:0.852971:0.376932:0.836582:0.123425:0.836582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{ ∈:@0.142479:0.853648:0.175962:0.853648:0.175962:0.838075:0.142479:0.838075:0.000000:0.000000:0.000000
x:@0.151325:0.852971:0.158788:0.852971:0.158788:0.836609:0.151325:0.836609:0.000000
R:@0.179998:0.852113:0.193303:0.852113:0.193303:0.839251:0.179998:0.839251:0.000000
x:@0.207658:0.852971:0.215121:0.852971:0.215121:0.836609:0.207658:0.836609:0.000000
} :@0.252382:0.853648:0.265834:0.853648:0.265834:0.838075:0.252382:0.838075:0.000000:0.000000
S =  –3 .:@0.115354:0.876690:0.182062:0.876690:0.182062:0.860301:0.115354:0.860301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{ }:@0.142959:0.877367:0.178856:0.877367:0.178856:0.861794:0.142959:0.861794:0.000000:0.000000:0.000000
Resolvamos:@0.509282:0.535136:0.600720:0.535136:0.600720:0.518512:0.509282:0.518512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la inecuación en el conjunto de los :@0.600720:0.535136:0.885574:0.535136:0.885574:0.518747:0.600720:0.518747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales.:@0.509282:0.551733:0.624176:0.551733:0.624176:0.535344:0.509282:0.535344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 5 <   – 1:@0.646752:0.575452:0.744050:0.575452:0.744050:0.559063:0.646752:0.559063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.655744:0.575452:0.663208:0.575452:0.663208:0.559090:0.655744:0.559090:0.000000
x:@0.710309:0.575452:0.717772:0.575452:0.717772:0.559090:0.710309:0.559090:0.000000
Aplicamos:@0.509282:0.599171:0.589571:0.599171:0.589571:0.582547:0.509282:0.582547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las propiedades de las desigualdades :@0.589571:0.599171:0.885555:0.599171:0.885555:0.582782:0.589571:0.582782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta que aislamos la incógnita en un miembro, así::@0.509282:0.615767:0.881538:0.615767:0.881538:0.599378:0.509282:0.599378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  –   < – 1 – 5:@0.629909:0.639486:0.738687:0.639486:0.738687:0.623097:0.629909:0.623097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.638902:0.639486:0.671113:0.639486:0.671113:0.623125:0.638902:0.623125:0.000000:0.000000:0.000000
2  < – 6:@0.629909:0.663205:0.687661:0.663205:0.687661:0.646816:0.629909:0.646816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.638902:0.663205:0.646365:0.663205:0.646365:0.646844:0.638902:0.646844:0.000000
x:@0.629909:0.686924:0.637372:0.686924:0.637372:0.670563:0.629909:0.670563:0.000000
 < – 3:@0.637372:0.686924:0.678668:0.686924:0.678668:0.670535:0.637372:0.670535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráficamente:@0.509282:0.710643:0.612753:0.710643:0.612753:0.694019:0.509282:0.694019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el conjunto solución es::@0.612753:0.710643:0.789767:0.710643:0.789767:0.694254:0.612753:0.694254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto   se ha representado con un punto hueco :@0.509279:0.787719:0.885588:0.787719:0.885588:0.771330:0.509279:0.771330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.574308:0.787719:0.584204:0.787719:0.584204:0.771358:0.574308:0.771358:0.000000
para indicar que no pertenece al conjunto solución.:@0.509279:0.804316:0.881499:0.804316:0.881499:0.787927:0.509279:0.787927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.512264:0.829297:0.520335:0.829297:0.520335:0.812936:0.512264:0.812936:0.000000
x:@0.545876:0.829297:0.553339:0.829297:0.553339:0.812936:0.545876:0.812936:0.000000
x:@0.602209:0.829297:0.609672:0.829297:0.609672:0.812936:0.602209:0.812936:0.000000
:@0.574255:0.830168:0.587559:0.830168:0.587559:0.813420:0.574255:0.813420:0.000000
{:@0.535664:0.831741:0.544509:0.831741:0.544509:0.813365:0.535664:0.813365:0.000000
}:@0.643926:0.831741:0.652771:0.831741:0.652771:0.813365:0.643926:0.813365:0.000000
=:@0.523781:0.829975:0.533898:0.829975:0.533898:0.814402:0.523781:0.814402:0.000000
∈:@0.557762:0.829975:0.570901:0.829975:0.570901:0.814402:0.557762:0.814402:0.000000
<:@0.613727:0.829975:0.623843:0.829975:0.623843:0.814402:0.613727:0.814402:0.000000
/:@0.591314:0.829297:0.597782:0.829297:0.597782:0.812908:0.591314:0.812908:0.000000
–3  o simplemente:@0.626750:0.829297:0.770159:0.828040:0.770159:0.811651:0.626750:0.812908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.512264:0.853022:0.520335:0.853022:0.520335:0.836661:0.512264:0.836661:0.000000
(:@0.536449:0.856154:0.542586:0.856154:0.542586:0.836221:0.536449:0.836221:0.000000
):@0.588600:0.856154:0.594736:0.856154:0.594736:0.836221:0.588600:0.836221:0.000000
=:@0.523781:0.853700:0.533898:0.853700:0.533898:0.838127:0.523781:0.838127:0.000000
∞:@0.552363:0.853700:0.565501:0.853700:0.565501:0.838127:0.552363:0.838127:0.000000
–,–3:@0.543259:0.853022:0.588849:0.853022:0.588849:0.836633:0.543259:0.836633:0.000000:0.000000:0.000000:0.000000
El paréntesis indica que –3 no pertenece al intervalo; :@0.509279:0.884290:0.885569:0.884290:0.885569:0.867901:0.509279:0.867901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es un intervalo abierto.:@0.509279:0.900886:0.677003:0.900886:0.677003:0.884497:0.509279:0.884497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.777128:0.750905:0.790369:0.750905:0.790369:0.738986:0.777128:0.738986:0.000000:0.000000
1:@0.836512:0.750905:0.843052:0.750905:0.843052:0.738986:0.836512:0.738986:0.000000
–5:@0.668264:0.750905:0.681505:0.750905:0.681505:0.738986:0.668264:0.738986:0.000000:0.000000
–3:@0.722274:0.750905:0.735515:0.750905:0.735515:0.738986:0.722274:0.738986:0.000000:0.000000
–7 –6:@0.612941:0.750905:0.651726:0.750905:0.651726:0.738986:0.612941:0.738986:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.751718:0.750905:0.764959:0.750905:0.764959:0.738986:0.751718:0.738986:0.000000:0.000000
0:@0.808247:0.750905:0.814787:0.750905:0.814787:0.738986:0.808247:0.738986:0.000000
–4:@0.694974:0.750905:0.708215:0.750905:0.708215:0.738986:0.694974:0.738986:0.000000:0.000000
A:@0.732218:0.736874:0.740058:0.736874:0.740058:0.724955:0.732218:0.724955:0.000000
–8:@0.586459:0.750905:0.599700:0.750905:0.599700:0.738986:0.586459:0.738986:0.000000:0.000000
–9:@0.559266:0.750905:0.572507:0.750905:0.572507:0.738986:0.559266:0.738986:0.000000:0.000000
Shutterstock, (2021). 1097101739:@0.895686:0.493288:0.895686:0.377396:0.881790:0.377396:0.881790:0.493288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000