Question

4/x + 3 > 2/x -7 ayuda! jajaj

Answer 1

$4:x+3\ \textgreater \ 2:x-7, x \neq 0$
$\frac{4}{x} +3\ \textgreater \ \frac{2}{x} -7$
$\frac{4}{x} +3\ \textgreater \ \frac{2}{x} -7\ \textgreater \ 0$
$\frac{4}{x} + 10 - \frac{2}{x} \ \textgreater \ 0$
$\frac{4+10x-2}{x} \ \textgreater \ 0$
$\frac{2+10}{x} \ \textgreater \ 0$
$\frac{2(1+5x)}{x} \ \textgreater \ \left \{ {{x\ \textgreater \ 0}$
$\left \{ {{2(1+5x)\ \textless \ 0} \atop {x\ \textless \ 0$
$\left \{ {{x\ \textgreater \ - \frac{1}{5} } \atop {x\ \textgreater \ 0}}$
$\left \{ {{x\ \textless \ - \frac{1}{5} } \atop {x\ \textless \ 0}} \right.$
x∈ < 0 , +  ∞ >
x∈ < -  ∞ , - $\frac{1}{5}$ >
x∈ < - ∞, -1/5 > ∪ < 0, +  ∞ >
= x∈ < -  ∞ , - 1/5 > ∪ < 0, +  ∞ >