Question

desigualdades 1-2x>5-8x

Answer 1

$1-2x\ \textgreater \ 5-8x$
$\mathrm{Restar\:}1\mathrm{\:de\:ambos\:lados}:$
$1-2x-1\ \textgreater \ 5-8x-1$
$-2x\ \textgreater \ -8x+4$
$\mathrm{Sumar\:}8x\mathrm{\:a\:ambos\:lados}:$
$-2x+8x\ \textgreater \ -8x+4+8x$
$6x\ \textgreater \ 4$
$\mathrm{Dividir\:ambos\:lados\:entre\:}6:$
$\frac{6x}{6}\ \textgreater \ \frac{4}{6}$
$x\ \textgreater \ \frac{2}{3}$
$\begin{bmatrix}\mathrm{Solucion:}\:&\:x\ \textgreater \ \frac{2}{3}\:\\ \:\mathrm{Decimal:}&\:x\ \textgreater \ 0.66667\dots \\ \mathrm{Notacion\:intervalo}&\:\left(\frac{2}{3},\:\infty \:\right)\end{bmatrix}$