Question

Resolva a inequação: x/2 + 1> x/5 - 1/3

Answer 1

$\frac{x}{2} +1 \ \textgreater \ \frac{x}{5} - \frac{1}{3}$
$\frac{x+2}{2} \ \textgreater \ \frac{3x-5}{15}$
$15(x+2) \ \textgreater \ 2(3x-5)$
$15x+30\ \textgreater \ 6x-10$
$15x-6x\ \textgreater \ -30-10$
$9x\ \textgreater \ -40$
$x\ \textgreater \ - \frac{40}{9}$