Question

Resolva a inequação a seguir, no conjunto dos racionais:

3(-4x-12)+1<34+3(2x+26)

Answer 1

Oiii

$3(-4x-12)+1\ \textless \ 34+3(2x+26)$

$-12x - 36 +1 \ \textless \ 34 + 6x + 78$

$-12x - 35 \ \textless \ 112 + 6x$

$- 35 - 112\ \textless \ 6x + 12x$

$-147\ \textless \ 18x$

$x \ \textgreater \ - \frac{147}{18}$

$\boxed{\boxed{x \ \textgreater \ - \frac{49}{6} }}$