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

Answer 1

Hi Thomas,

For each of the points provided, you would need to substitute the x-coordinate number for x in the inequality and the y-coordinate for y in the inequality and see is the inequality is valid.

For the point (5,-1), the absolute value of 5 (which is equal to 5) would be used for x:

y > |x| - 6

Is -1> 5 - 6 ?

-1> -1 is not valid so the point (5,-1) IS NOT a solution.

For the point (-1,-5), the absolute value of -1 (which is equal to 1) would be used for x:

Is -5> 1- 6 ?

-5 > -5 is not valid so the point (-1, -5) IS NOT a valid solution.

For the point (-5,1), the absolute value of -5 (which is equal to 5) would be used for x:

Is 1> 5- 6 ?

1> -1 IS VALID so the point (-5, 1) IS VALID as a solution for the inequality.