Question

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

Answer 1

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

Answer 2

B(-5, 1)

Explanation:

We can test each value in the equation and see if the equation works out.

`y > |x| - 6`

Let’s try A - (-1, -5).

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

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

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

1 IS greater than -1, so B works.

Let’s try C for fun.

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

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!