Question

Resolva, em R, as seguintes inequações:
a) x - 1/3 - x-2/2 < 2

Answer 1

Oiiiii

$\frac{x-1}{3} - \frac{x-2}{2} \ \textless \ 2$

$\frac{x-1}{3} +1- \frac{x}{2} \ \textless \ 2--mmc$

$2(x-1)+6-3x\ \textless \ 12$

$2x-2+6-3x\ \textless \ 12$

$-x+4\ \textless \ 12$

$-x\ \textless \ 12 -4$

$-x\ \textless \ 8 ( *-1)$

$\boxed{x\ \textgreater \ \boxed{-8}}$