[tex]\mathrm{Intercambiar\:lados}[/tex]
[tex]\bold{2m+1-2<-4+2-1}[/tex]
[tex]\mathrm{Sumar/restar\:lo\:siguiente:}\:1-2=-1[/tex]
[tex]\bold{2m-1<-4+2-1}[/tex]
[tex]\mathrm{Sumar/restar\:lo\:siguiente:}\:-4+2-1=-3[/tex]
[tex]\bold{2m-1<-3}[/tex]
[tex]\mathrm{Sumar\:}1\mathrm{\:a\:ambos\:lados}[/tex]
[tex]\bold{2m-1+1<-3+1}[/tex]
[tex]\mathrm{Simplificar}[/tex]
[tex]\bold{2m<-2}[/tex]
[tex]\mathrm{Dividir\:ambos\:lados\:entre\:}2[/tex]
[tex]\bold{\frac{2m}{2}<\frac{-2}{2}}[/tex]
[tex]\mathrm{Simplificar\:y\:Solucion}[/tex]
[tex]\boxed{\bold{m<-1}}[/tex]
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[tex]\mathrm{Intercambiar\:lados}[/tex]
[tex]\bold{2m+1-2<-4+2-1}[/tex]
[tex]\mathrm{Sumar/restar\:lo\:siguiente:}\:1-2=-1[/tex]
[tex]\bold{2m-1<-4+2-1}[/tex]
[tex]\mathrm{Sumar/restar\:lo\:siguiente:}\:-4+2-1=-3[/tex]
[tex]\bold{2m-1<-3}[/tex]
[tex]\mathrm{Sumar\:}1\mathrm{\:a\:ambos\:lados}[/tex]
[tex]\bold{2m-1+1<-3+1}[/tex]
[tex]\mathrm{Simplificar}[/tex]
[tex]\bold{2m<-2}[/tex]
[tex]\mathrm{Dividir\:ambos\:lados\:entre\:}2[/tex]
[tex]\bold{\frac{2m}{2}<\frac{-2}{2}}[/tex]
[tex]\mathrm{Simplificar\:y\:Solucion}[/tex]
[tex]\boxed{\bold{m<-1}}[/tex]