Question

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

Answer 1

Answer:

(-5,1) is right

Have a great day sugar!

Answer 2

ANSWER

(-5,1) is the correct answer

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.