# How do you determine whether the pair (-2,-1) is a solution to y> -sqrt(x+11)+1?

##### 1 Answer
Dec 23, 2016

Substitute -2 for x and -1 for y, simplify, and then observe whether the inequality is true.

#### Explanation:

Substitute -2 for x and -1 for y:

$- 1 > - \sqrt{- 2 + 11} + 1$

Simplify:

$- 1 > - \sqrt{9} + 1$

$- 1 > - 3 + 1$

$- 1 > - 2$

The inequality is true, therefore, the point $\left(- 2 , - 1\right)$ is a solution.