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

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Answer 1 · 2016-12-23T19:32:44

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

Substitute -2 for x and -1 for y:

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

Simplify:

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

$- 1 > - 3 + 1$ $-1 > -3 + 1$

$- 1 > - 2$ $-1 > -2$

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

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