How do you determine whether the pair (-2,-1) is a solution to #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#

Simplify:

#-1 > -sqrt(9) + 1#

#-1 > -3 + 1#

#-1 > -2#

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