Answer
The solution is $(-5,3)$
Work Step by Step
$\frac{m-3}{m+5}\leq0$
First solve the corresponding equation
$\frac{m-3}{m+5} = 0$
$m-3=0$
$m=3$
For $(-\infty,-5)$, choose $-6: \frac{-6-3}{-6+5}=9\gt0$
For $(-5,3)$, choose $0: \frac{0-3}{0+5}=\frac{-3}{5}\leq0$
For $(3,\infty)$, choose $5: \frac{5-3}{5+5}=\frac{1}{5}\gt0$
The solution is $(-5,3)$
