# How do you solve -2/(x-10)<0?

Sep 22, 2017

Solution : $x > 10 \mathmr{and} \left(10 , \infty\right)$

#### Explanation:

$- \frac{2}{x - 10} < 0 \mathmr{and} \frac{2}{x - 10} > 0$ . Critical point is

x -10=0 or x=10 ; x != 10  since for $x = 10$ , the function

is undefined.

Sign change observation:

When $x < 10$ sign of $\frac{2}{x - 10}$ is  - ; i.e <0

When $x > 10$ sign of $\frac{2}{x - 10}$ is  + ; i.e > 0

Solution : $x > 10 \mathmr{and} \left(10 , \infty\right)$ [Ans]