# How do you solve (x+5)/(x-4)<=0?

Jun 10, 2018

$\left[- 5 , 4\right)$

#### Explanation:

Two equations can be formed from this:

$x + 5 \le 0$
and
$x - 4 \le 0$

Solve both to get

$x \le - 5$ and $x \le 4$

however when $x = 4$ denominator is 0, and so makes the equation undefined, so $x < 4$

so the two ranges are

$- 5 \le x < 4$ also written as $\left[- 5 , 4\right)$