Question

resolva as inequações sendo U=IR
OBS:resolver as letras C, E

Answer 1

$c)~~ \dfrac{x-1}{2} -1 \leq \dfrac{x}{3} \to~~mmc=6\\\\ 3x-3-6 \leq 2x\to \\\\ 3x-2x \leq 3+6\to \\\\ x \leq 9\\\\\\\\ \boxed{\boxed{S = \{x \epsilon \mathbb{R} \ | \ x \leq 9}}$





$e)~~ \dfrac{1}{2} (x+3)\ \textless \ - \dfrac{x}{2} +1\to\\\\ \dfrac{x+3}{2} \ \textless \ - \dfrac{x}{2} +1\to~~mmc= 2\\\\ x+3+2\ \textless \ -x+1\to \\\\ x+x\ \textless \ 1-3-2\to \\\\ 2x\ \textless \ -4\to \\\\ x\ \textless \ - \dfrac{4}{2} \to \\\\ x\ \textless \ -2\\\\\\\\ \boxed{\boxed{S = \{x \epsilon \mathbb{R} \ | \ x\ \textless \ -2}}$