﻿60:@0.035388:0.963884:0.056737:0.963884:0.056737:0.945447:0.035388:0.945447:0.000000:0.000000
Inecuaciones lineales con dos incógnitas:@0.305303:0.084620:0.876155:0.084620:0.876155:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una inecuación lineal, con dos incógnitas, consiste en una desigualdad entre dos :@0.305303:0.201980:0.907738:0.201980:0.907738:0.186311:0.305303:0.186311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas de forma lineal.:@0.305303:0.218577:0.497887:0.218577:0.497887:0.202907:0.305303:0.202907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonia quiere resolver la siguiente inecuación lineal 2x + y < 6.:@0.305303:0.242296:0.770690:0.242296:0.770690:0.226626:0.305303:0.226626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver la inecuación lineal, procedemos de la siguiente manera::@0.305303:0.266015:0.816055:0.266015:0.816055:0.250345:0.305303:0.250345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.305303:0.289734:0.315070:0.289734:0.315070:0.272598:0.305303:0.272598:0.000000:0.000000
Cambiamos el signo de la desigualdad < “menor que” por el signo =. :@0.329038:0.289734:0.820171:0.289734:0.820171:0.274064:0.329038:0.274064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 +  = 6 o  = –2 + 6.:@0.329038:0.306330:0.496140:0.306330:0.496140:0.290660:0.329038:0.290660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y :@0.337846:0.306330:0.373522:0.306330:0.373522:0.289969:0.337846:0.289969:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.414856:0.306330:0.425470:0.306330:0.425470:0.289969:0.414856:0.289969:0.000000:0.000000
x :@0.458511:0.306330:0.469106:0.306330:0.469106:0.289969:0.458511:0.289969:0.000000:0.000000
• :@0.305303:0.330049:0.315254:0.330049:0.315254:0.312913:0.305303:0.312913:0.000000:0.000000
Graficamos la recta   = –2  + 6. Para ello, :@0.329038:0.330049:0.645238:0.330049:0.645238:0.314379:0.329038:0.314379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.476994:0.330049:0.484475:0.330049:0.484475:0.313688:0.476994:0.313688:0.000000
x:@0.525864:0.330049:0.533327:0.330049:0.533327:0.313688:0.525864:0.313688:0.000000
buscamos las intersecciones con los ejes :@0.329038:0.346645:0.645236:0.346645:0.645236:0.330976:0.329038:0.330976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenados.  Como  la desigualdad tiene :@0.329038:0.363242:0.645242:0.363242:0.645242:0.347572:0.329038:0.347572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el  signo:@0.329038:0.379838:0.391185:0.379838:0.391185:0.364168:0.329038:0.364168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 <:@0.391001:0.379838:0.411382:0.379838:0.411382:0.362938:0.391001:0.362938:0.000000:0.000000
, representamos  la  recta con :@0.411382:0.379838:0.645265:0.379838:0.645265:0.364168:0.411382:0.364168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea punteada para indicar que los puntos :@0.329038:0.396435:0.645253:0.396435:0.645253:0.380765:0.329038:0.380765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que forman la recta no pertenecen al :@0.329038:0.413031:0.645219:0.413031:0.645219:0.397361:0.329038:0.397361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto solución.:@0.329038:0.429627:0.465292:0.429627:0.465292:0.413958:0.329038:0.413958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  = 0,    = 6, (0, 6):@0.365617:0.449792:0.506607:0.449792:0.506607:0.434122:0.365617:0.434122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.382054:0.449792:0.389518:0.449792:0.389518:0.433431:0.382054:0.433431:0.000000
y:@0.428842:0.449792:0.436324:0.449792:0.436324:0.433431:0.428842:0.433431:0.000000
Si  = 0,    = 3, (3, 0):@0.365617:0.473511:0.505888:0.473511:0.505888:0.457841:0.365617:0.457841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.378019:0.473511:0.388817:0.473511:0.388817:0.457150:0.378019:0.457150:0.000000:0.000000
x:@0.428142:0.473511:0.435605:0.473511:0.435605:0.457150:0.428142:0.457150:0.000000
• :@0.305303:0.497230:0.315254:0.497230:0.315254:0.480094:0.305303:0.480094:0.000000:0.000000
Tomamos un punto sobre o bajo la recta y reemplazamos en la inecuación para :@0.329038:0.497230:0.907609:0.497230:0.907609:0.481560:0.329038:0.481560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar si satisface la inecuación.:@0.329038:0.513826:0.595850:0.513826:0.595850:0.498156:0.329038:0.498156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una inecuación lineal :@0.105557:0.166105:0.252391:0.166105:0.252391:0.151859:0.105557:0.151859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos variables  :@0.105557:0.181192:0.228383:0.181192:0.228383:0.166947:0.105557:0.166947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.105557:0.196280:0.125726:0.196280:0.125726:0.181406:0.105557:0.181406:0.000000:0.000000:0.000000
,   es una desigualdad :@0.112341:0.196280:0.262242:0.196280:0.262242:0.182035:0.112341:0.182035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tiene una de las :@0.105557:0.211367:0.244032:0.211367:0.244032:0.197122:0.105557:0.197122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes formas::@0.105557:0.226455:0.225636:0.226455:0.225636:0.212210:0.105557:0.212210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.105557:0.248672:0.120768:0.248672:0.120768:0.233798:0.105557:0.233798:0.000000:0.000000
 +   +   < 0,  :@0.120768:0.248672:0.213258:0.248672:0.213258:0.234426:0.120768:0.234426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.138090:0.248672:0.153217:0.248672:0.153217:0.233798:0.138090:0.233798:0.000000:0.000000
c:@0.170539:0.248672:0.177508:0.248672:0.177508:0.233798:0.170539:0.233798:0.000000
ax:@0.105557:0.263759:0.120768:0.263759:0.120768:0.248885:0.105557:0.248885:0.000000:0.000000
 +   + :@0.120768:0.263759:0.170539:0.263759:0.170539:0.249514:0.120768:0.249514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.138090:0.263759:0.153217:0.263759:0.153217:0.248885:0.138090:0.248885:0.000000:0.000000
c >:@0.170539:0.263759:0.190508:0.263759:0.190508:0.248885:0.170539:0.248885:0.000000:0.000000:0.000000
 0:@0.190508:0.263759:0.202352:0.263759:0.202352:0.249514:0.190508:0.249514:0.000000:0.000000
ax:@0.105557:0.285976:0.120768:0.285976:0.120768:0.271102:0.105557:0.271102:0.000000:0.000000
 +   +   ≤ 0,  :@0.120768:0.285976:0.213258:0.285976:0.213258:0.271730:0.120768:0.271730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.138090:0.285976:0.153217:0.285976:0.153217:0.271102:0.138090:0.271102:0.000000:0.000000
c:@0.170539:0.285976:0.177508:0.285976:0.177508:0.271102:0.170539:0.271102:0.000000
ax:@0.105557:0.301063:0.120768:0.301063:0.120768:0.286189:0.105557:0.286189:0.000000:0.000000
 +   +   ≥ 0 :@0.120768:0.301063:0.206674:0.301063:0.206674:0.286818:0.120768:0.286818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.138090:0.301063:0.153217:0.301063:0.153217:0.286189:0.138090:0.286189:0.000000:0.000000
c:@0.170539:0.301063:0.177508:0.301063:0.177508:0.286189:0.170539:0.286189:0.000000
La solución de una :@0.105557:0.323280:0.234533:0.323280:0.234533:0.309035:0.105557:0.309035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación lineal con :@0.105557:0.338367:0.250683:0.338367:0.250683:0.324122:0.105557:0.324122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos variables es el :@0.105557:0.353455:0.229070:0.353455:0.229070:0.339210:0.105557:0.339210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de pares :@0.105557:0.368543:0.230595:0.368543:0.230595:0.354297:0.105557:0.354297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenados  :@0.105557:0.383630:0.184661:0.383630:0.184661:0.369385:0.105557:0.369385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) que satisfacen la :@0.105557:0.398718:0.251889:0.398718:0.251889:0.384473:0.105557:0.384473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.109996:0.398718:0.130166:0.398718:0.130166:0.383844:0.109996:0.383844:0.000000:0.000000:0.000000
igualdad, por lo tanto, :@0.105557:0.413805:0.255388:0.413805:0.255388:0.399560:0.105557:0.399560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde a la región :@0.105557:0.428893:0.267199:0.428893:0.267199:0.414648:0.105557:0.414648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreada bajo o :@0.105557:0.443981:0.230161:0.443981:0.230161:0.429735:0.105557:0.429735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre la recta.:@0.105557:0.459068:0.197576:0.459068:0.197576:0.444823:0.105557:0.444823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138128:0.141595:0.239996:0.141595:0.239996:0.124694:0.138128:0.124694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de una inecuación lineal con dos variables, son semiplanos con una línea :@0.305303:0.667700:0.907690:0.667700:0.907690:0.652030:0.305303:0.652030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta como frontera.:@0.305303:0.684296:0.454215:0.684296:0.454215:0.668626:0.305303:0.668626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.305303:0.702634:0.372765:0.702634:0.372765:0.687521:0.305303:0.687521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.332013:0.534246:0.340785:0.534246:0.340785:0.517885:0.332013:0.517885:0.000000
(4, 2)  2  +   < 6:@0.340785:0.534246:0.463365:0.534246:0.463365:0.518576:0.340785:0.518576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.401320:0.534246:0.408783:0.534246:0.408783:0.517885:0.401320:0.517885:0.000000
y:@0.427837:0.534246:0.435319:0.534246:0.435319:0.517885:0.427837:0.517885:0.000000
 :@0.332013:0.557965:0.336049:0.557965:0.336049:0.542295:0.332013:0.542295:0.000000
2(4) + 2 < 6:@0.392327:0.557965:0.476173:0.557965:0.476173:0.542295:0.392327:0.542295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.332013:0.581684:0.336049:0.581684:0.336049:0.566014:0.332013:0.566014:0.000000
10 < 6:@0.392327:0.581684:0.438359:0.581684:0.438359:0.566014:0.392327:0.566014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 no es menor que 6.:@0.332013:0.605403:0.495724:0.605403:0.495724:0.589733:0.332013:0.589733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El  punto  (4,  2)  no satisface  la :@0.332013:0.629122:0.578122:0.629122:0.578122:0.613452:0.332013:0.613452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación.:@0.332013:0.645718:0.416006:0.645718:0.416006:0.630049:0.332013:0.630049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.618655:0.534218:0.627427:0.534218:0.627427:0.517857:0.618655:0.517857:0.000000
(–1, 3)   2  +   < 6:@0.627427:0.534218:0.754780:0.534218:0.754780:0.518549:0.627427:0.518549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.692734:0.534218:0.700197:0.534218:0.700197:0.517857:0.692734:0.517857:0.000000
y:@0.719252:0.534218:0.726733:0.534218:0.726733:0.517857:0.719252:0.517857:0.000000
 :@0.618655:0.557937:0.622691:0.557937:0.622691:0.542268:0.618655:0.542268:0.000000
2(–1) + 3 < 6:@0.678969:0.557937:0.772028:0.557937:0.772028:0.542268:0.678969:0.542268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.618655:0.581656:0.622691:0.581656:0.622691:0.565987:0.618655:0.565987:0.000000
1 < 6:@0.678969:0.581656:0.716008:0.581656:0.716008:0.565987:0.678969:0.565987:0.000000:0.000000:0.000000:0.000000:0.000000
El punto  (–1, 3) satisface la inecuación.:@0.618655:0.605375:0.903600:0.605375:0.903600:0.589706:0.618655:0.589706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.683039:0.605375:0.691811:0.605375:0.691811:0.589014:0.683039:0.589014:0.000000
Pintamos la región donde se encuentra :@0.618655:0.621972:0.907619:0.621972:0.907619:0.606302:0.618655:0.606302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto.:@0.618655:0.638568:0.683629:0.638568:0.683629:0.622898:0.618655:0.622898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.311724:0.165585:0.395552:0.165585:0.395552:0.148685:0.311724:0.148685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿En cuántos semiplanos divide una recta a un plano?:@0.395552:0.165585:0.789697:0.165585:0.789697:0.149916:0.395552:0.149916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344812:0.139002:0.470321:0.139002:0.470321:0.122102:0.344812:0.122102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.760762:0.333080:0.767396:0.333080:0.767396:0.320260:0.760762:0.320260:0.000000
x:@0.894090:0.423946:0.900196:0.423946:0.900196:0.410559:0.894090:0.410559:0.000000
0:@0.769728:0.429806:0.775451:0.429806:0.775451:0.419834:0.769728:0.419834:0.000000
6:@0.767354:0.368533:0.773077:0.368533:0.773077:0.358561:0.767354:0.358561:0.000000
4:@0.767354:0.386352:0.773077:0.386352:0.773077:0.376381:0.767354:0.376381:0.000000
2:@0.767354:0.404172:0.773077:0.404172:0.773077:0.394200:0.767354:0.394200:0.000000
–2:@0.761491:0.439808:0.773077:0.439808:0.773077:0.429836:0.761491:0.429836:0.000000:0.000000
2:@0.799842:0.429806:0.805565:0.429806:0.805565:0.419834:0.799842:0.419834:0.000000
–2:@0.748480:0.429806:0.760065:0.429806:0.760065:0.419834:0.748480:0.419834:0.000000:0.000000
–4:@0.724733:0.429806:0.736319:0.429806:0.736319:0.419834:0.724733:0.419834:0.000000:0.000000
–6:@0.700986:0.429806:0.712572:0.429806:0.712572:0.419834:0.700986:0.419834:0.000000:0.000000
4:@0.823589:0.429806:0.829312:0.429806:0.829312:0.419834:0.823589:0.419834:0.000000
6:@0.847335:0.429806:0.853058:0.429806:0.853058:0.419834:0.847335:0.419834:0.000000
8:@0.767354:0.350712:0.773077:0.350712:0.773077:0.340740:0.767354:0.340740:0.000000
Semiplano :@0.690297:0.370821:0.750431:0.370821:0.750431:0.359425:0.690297:0.359425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inferior:@0.700027:0.380879:0.737753:0.380879:0.737753:0.369483:0.700027:0.369483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Semiplano :@0.798732:0.345846:0.858866:0.345846:0.858866:0.334450:0.798732:0.334450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
superior:@0.805366:0.355904:0.849309:0.355904:0.849309:0.344508:0.805366:0.344508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frontera:@0.835440:0.384963:0.879947:0.384963:0.879947:0.373567:0.835440:0.373567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(–1, 3):@0.714434:0.395635:0.753313:0.395635:0.753313:0.384239:0.714434:0.384239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(4, 2):@0.832880:0.408590:0.865058:0.408590:0.865058:0.397194:0.832880:0.397194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2x + y < 6:@0.699142:0.412915:0.751584:0.412915:0.751584:0.401519:0.699142:0.401519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.920560:0.454455:0.920560:0.408211:0.909091:0.408211:0.909091:0.454455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.842025:0.932766:0.903641:0.932766:0.903641:0.924158:0.842025:0.924158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.106213:0.552134:0.157358:0.552134:0.157358:0.537021:0.106213:0.537021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.157358:0.552134:0.241085:0.552134:0.241085:0.537888:0.157358:0.537888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web: :@0.106213:0.567221:0.189672:0.567221:0.189672:0.552976:0.106213:0.552976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.189672:0.567221:0.192721:0.567221:0.192721:0.552096:0.189672:0.552096:0.000000
lynk.ec/10m06:@0.106213:0.582309:0.204366:0.582309:0.204366:0.567184:0.106213:0.567184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.106213:0.604525:0.165718:0.604525:0.165718:0.589413:0.106213:0.589413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la página y :@0.165718:0.604525:0.244838:0.604525:0.244838:0.590280:0.165718:0.590280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.106213:0.619613:0.164411:0.619613:0.164411:0.604500:0.106213:0.604500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los ejercicios, :@0.164411:0.619613:0.258560:0.619613:0.258560:0.605368:0.164411:0.605368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifica :@0.106213:0.634701:0.159854:0.634701:0.159854:0.619588:0.106213:0.619588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los procesos.:@0.159854:0.634701:0.244888:0.634701:0.244888:0.620455:0.159854:0.620455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.122697:0.527184:0.273599:0.527184:0.273599:0.510283:0.122697:0.510283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.577670:0.751730:0.582830:0.751730:0.582830:0.741759:0.577670:0.741759:0.000000
x:@0.674650:0.821004:0.679681:0.821004:0.679681:0.811032:0.674650:0.811032:0.000000
0:@0.585903:0.829374:0.591625:0.829374:0.591625:0.819402:0.585903:0.819402:0.000000
–2:@0.577664:0.839384:0.589250:0.839384:0.589250:0.829413:0.577664:0.829413:0.000000:0.000000
–4:@0.577664:0.857206:0.589250:0.857206:0.589250:0.847235:0.577664:0.847235:0.000000:0.000000
2:@0.616022:0.829377:0.621744:0.829377:0.621744:0.819406:0.616022:0.819406:0.000000
–2:@0.564659:0.829377:0.576245:0.829377:0.576245:0.819406:0.564659:0.819406:0.000000:0.000000
–4:@0.540912:0.829377:0.552498:0.829377:0.552498:0.819406:0.540912:0.819406:0.000000:0.000000
4:@0.639768:0.829377:0.645491:0.829377:0.645491:0.819406:0.639768:0.819406:0.000000
y ≥ 0:@0.550796:0.798135:0.573804:0.798135:0.573804:0.788163:0.550796:0.788163:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.583527:0.785924:0.589250:0.785924:0.589250:0.775952:0.583527:0.775952:0.000000
2:@0.583527:0.803745:0.589250:0.803745:0.589250:0.793773:0.583527:0.793773:0.000000
6:@0.583527:0.768104:0.589250:0.768104:0.589250:0.758132:0.583527:0.758132:0.000000
x:@0.479106:0.819916:0.484137:0.819916:0.484137:0.809944:0.479106:0.809944:0.000000
–4:@0.346507:0.856113:0.358093:0.856113:0.358093:0.846141:0.346507:0.846141:0.000000:0.000000
2:@0.384859:0.828287:0.390581:0.828287:0.390581:0.818316:0.384859:0.818316:0.000000
4:@0.408605:0.828287:0.414328:0.828287:0.414328:0.818316:0.408605:0.818316:0.000000
6:@0.432352:0.828287:0.438074:0.828287:0.438074:0.818316:0.432352:0.818316:0.000000
2x – 3y < 6:@0.387990:0.790757:0.438473:0.790757:0.438473:0.780785:0.387990:0.780785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.352371:0.802653:0.358093:0.802653:0.358093:0.792682:0.352371:0.792682:0.000000
4:@0.352371:0.784831:0.358093:0.784831:0.358093:0.774860:0.352371:0.774860:0.000000
6:@0.352371:0.767009:0.358093:0.767009:0.358093:0.757037:0.352371:0.757037:0.000000
y:@0.346519:0.750639:0.351679:0.750639:0.351679:0.740667:0.346519:0.740667:0.000000
0:@0.354745:0.828287:0.360467:0.828287:0.360467:0.818316:0.354745:0.818316:0.000000
–2:@0.333496:0.828287:0.345082:0.828287:0.345082:0.818316:0.333496:0.818316:0.000000:0.000000
–2:@0.346512:0.838294:0.358098:0.838294:0.358098:0.828322:0.346512:0.828322:0.000000:0.000000
y:@0.143862:0.751730:0.149022:0.751730:0.149022:0.741759:0.143862:0.741759:0.000000
0:@0.152094:0.829382:0.157817:0.829382:0.157817:0.819411:0.152094:0.819411:0.000000
6:@0.149717:0.768104:0.155440:0.768104:0.155440:0.758132:0.149717:0.758132:0.000000
4:@0.149717:0.785924:0.155440:0.785924:0.155440:0.775952:0.149717:0.775952:0.000000
2:@0.149717:0.803745:0.155440:0.803745:0.155440:0.793773:0.149717:0.793773:0.000000
–2:@0.143854:0.839380:0.155440:0.839380:0.155440:0.829409:0.143854:0.829409:0.000000:0.000000
2:@0.182205:0.829379:0.187928:0.829379:0.187928:0.819407:0.182205:0.819407:0.000000
–2:@0.130842:0.829379:0.142428:0.829379:0.142428:0.819407:0.130842:0.819407:0.000000:0.000000
4:@0.205951:0.829379:0.211674:0.829379:0.211674:0.819407:0.205951:0.819407:0.000000
2x – 3y ≥ 12:@0.197744:0.848164:0.253950:0.848164:0.253950:0.838192:0.197744:0.838192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.229693:0.829379:0.235416:0.829379:0.235416:0.819407:0.229693:0.819407:0.000000
x:@0.276452:0.821007:0.281483:0.821007:0.281483:0.811036:0.276452:0.811036:0.000000
–4:@0.143854:0.857204:0.155440:0.857204:0.155440:0.847232:0.143854:0.847232:0.000000:0.000000
2x – 3y ≥ 12:@0.156024:0.729355:0.240825:0.729355:0.240825:0.713991:0.156024:0.713991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2x – 3y < 6:@0.362330:0.729355:0.438151:0.729355:0.438151:0.713991:0.362330:0.713991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ≥ 0:@0.584919:0.729355:0.619195:0.729355:0.619195:0.713991:0.584919:0.713991:0.000000:0.000000:0.000000:0.000000:0.000000
x > 0:@0.786786:0.729355:0.820960:0.729355:0.820960:0.713991:0.786786:0.713991:0.000000:0.000000:0.000000:0.000000:0.000000
La frontera de la región es la  La frontera de la región es la  La frontera de la región es la  La frontera de la región es la :@0.104862:0.892050:0.899159:0.892050:0.899159:0.877805:0.104862:0.877805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta continua 2  – 3  = 12, :@0.107191:0.907138:0.293277:0.907138:0.293277:0.892892:0.107191:0.892892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.215546:0.907138:0.222330:0.907138:0.222330:0.892264:0.215546:0.892264:0.000000
y:@0.246219:0.907138:0.253021:0.907138:0.253021:0.892264:0.246219:0.892264:0.000000
porque la desigualdad es ≥.:@0.106353:0.922225:0.290462:0.922225:0.290462:0.907980:0.106353:0.907980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta punteada 2  – 3  = 6, :@0.310548:0.907138:0.493583:0.907138:0.493583:0.892892:0.310548:0.892892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.424027:0.907138:0.430812:0.907138:0.430812:0.892264:0.424027:0.892264:0.000000
y:@0.454701:0.907138:0.461503:0.907138:0.461503:0.892264:0.454701:0.892264:0.000000
porque la desigualdad es <.:@0.308186:0.922225:0.492295:0.922225:0.492295:0.907980:0.308186:0.907980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta   = 0, es decir, el eje  . :@0.511343:0.907138:0.696455:0.907138:0.696455:0.892892:0.511343:0.892892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.548332:0.907138:0.555133:0.907138:0.555133:0.892264:0.548332:0.892264:0.000000
x:@0.683087:0.907138:0.689871:0.907138:0.689871:0.892264:0.683087:0.892264:0.000000
recta   = 0, es decir, el eje  .:@0.715253:0.907138:0.892543:0.907138:0.892543:0.892892:0.715253:0.892892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.751438:0.907138:0.758223:0.907138:0.758223:0.892264:0.751438:0.892264:0.000000
y:@0.882961:0.907138:0.889763:0.907138:0.889763:0.892264:0.882961:0.892264:0.000000
y:@0.757844:0.751730:0.763004:0.751730:0.763004:0.741759:0.757844:0.741759:0.000000
0:@0.766076:0.829382:0.771799:0.829382:0.771799:0.819411:0.766076:0.819411:0.000000
6:@0.763707:0.768109:0.769430:0.768109:0.769430:0.758137:0.763707:0.758137:0.000000
4:@0.763707:0.785931:0.769430:0.785931:0.769430:0.775960:0.763707:0.775960:0.000000
2:@0.763707:0.803754:0.769430:0.803754:0.769430:0.793782:0.763707:0.793782:0.000000
–2:@0.757844:0.839389:0.769430:0.839389:0.769430:0.829418:0.757844:0.829418:0.000000:0.000000
–4:@0.757844:0.857211:0.769430:0.857211:0.769430:0.847240:0.757844:0.847240:0.000000:0.000000
–2:@0.744821:0.829379:0.756407:0.829379:0.756407:0.819407:0.744821:0.819407:0.000000:0.000000
x > 0:@0.809060:0.798135:0.831938:0.798135:0.831938:0.788163:0.809060:0.788163:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.876888:0.821007:0.881919:0.821007:0.881919:0.811036:0.876888:0.811036:0.000000
2:@0.796189:0.829379:0.801911:0.829379:0.801911:0.819407:0.796189:0.819407:0.000000
4:@0.819935:0.829379:0.825658:0.829379:0.825658:0.819407:0.819935:0.819407:0.000000
6:@0.843682:0.829379:0.849404:0.829379:0.849404:0.819407:0.843682:0.819407:0.000000
M.4.1.40.:@0.097012:0.946789:0.141984:0.946789:0.141984:0.936034:0.097012:0.936034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver de manera geométrica una inecuación lineal con dos incógnitas en el plano cartesiano sombreando la solución.:@0.141866:0.946789:0.694216:0.946789:0.694216:0.936817:0.141866:0.936817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En dos semiplanos.:@0.794069:0.164520:0.883155:0.164520:0.883155:0.154548:0.794069:0.154548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000