Question

Which of the following is a solution of y > |x| - 6?
(-5, 1)
(-1, -5)
(5, -1)

Answer 1

(-5,1) is the correct answer

Answer 2

(-5,1) is the correct answer

Step-by-step explanation

The given inequality is:

`y \: > \: |x|- 6`

If any point satisfies this inequality, then it is a solution.

We need to substitute each point into the given inequality.

We substitute (-5,1) to get:

`1\: > \: | - 5|- 6 \implies1\: > \: - 1`

This statement is true. Hence (-5,1) is a solution.

For (-1,-5), we have

`- 5\: > \: | - 1|- 6 \implies - 5\: > \: - 5`

This is false.

For (5,-1), we have

`- 1\: > \: | 5|- 6 \implies - 1\: > \: - 1`

This is also false.