Question

resolva o produto e o quociente das inequaçoes: 2x+1/x+2 >0

Answer 1

$\frac{2x+1}{x+2}\ \textgreater \ 0\iff (2x+1)(x+2)\ \textgreater \ 0$

$\frac{2x+1}{x+2}\ \textgreater \ 0\iff \left(x+\frac{1}{2}\right)(x+2)\ \textgreater \ 0$

$\frac{2x+1}{x+2}\ \textgreater \ 0\iff x\in \left]-\infty,-2\right[\;\cup\;\left]-\frac{1}{2},+\infty\right[$