Question

inecuacion 5x+10>12x-4

Answer 1

5x + 10 > 12x - 4
7x > 14
x > 2

Answer 2

$5x+10\ \textgreater \ 12x-4$
$\mathrm{Restar\:}10\mathrm{\:de\:ambos\:lados}:$
$5x+10-10\ \textgreater \ 12x-4-10$
$5x\ \textgreater \ 12x-14$
$\mathrm{Restar\:}12x\mathrm{\:de\:ambos\:lados}:$
$5x-12x\ \textgreater \ 12x-14-12x$
$-7x\ \textgreater \ -14$
$\mathrm{Multiplicar\:ambos\:lados\:por\:-1\:\left(invierte\:la\:desigualdad\right)}$
$\left(-7x\right)\left(-1\right)\ \textless \ \left(-14\right)\left(-1\right)$
$7x\ \textless \ 14$
$\mathrm{Dividir\:ambos\:lados\:entre\:}7:$
$\frac{7x}{7}\ \textless \ \frac{14}{7}$
$x\ \textless \ 2$
$\begin{bmatrix}\mathrm{Solucion:}\:&\:x\ \textless \ 2\:\\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:2\right)\end{bmatrix}$