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

Oct 6, 2016

$x < 4$

#### Explanation:

In order to solve this inequality, you have to isolate $x$ on one side of it.

$\frac{x - 4}{x + 5} < 0$

First, we multiply both sides by $x + 5$ to remove the fraction

$x - 4 < 0$

Then add four to both sides to isolate $x$

$x < 4$