I need to find the maximum domain for $f(x) = \sqrt{\frac{4x+13}{(x+5)(2-x)}}$
Therefore, I should solve the inequality
$\frac{4x+13}{(x+5)(2-x)} \ge 0$
I don't remember how to solve inequalities for the form
$\frac{ax}{b}\geq0$
Normally, I move the $b$ to multiply to the right side, but, you know, since there is a zero, It'll just eat the $b$. Then the $a$. So I end up with $x\geq0$, which doesn't make sense.
All examples I find are not of such form, so I'm a bit lost.