Question

Resolva a inequação

-y/4+1/2>3-3y/4

Answer 1

$- \dfrac{y}{4} + \dfrac{1}{2} \ \textgreater \ 3- \dfrac{3y}{4} \to~~mmc=4\\\\ -y+2\ \textgreater \ 12-3y\to\\\\ -y+3y\ \textgreater \ 12-2\to\\\\ 2y\ \textgreater \ 10\to\\\\ y\ \textgreater \ \dfrac{10}{2} \to\\\\y\ \textgreater \ 5\\\\\\\\\boxed{\boxed{S = \{x \epsilon \mathbb{R} \ | \ y\ \textgreater \ 5\}}}$