Question

Which values of x are solutions to this equation? |x/-4| = 2

-x = 4 or x = 8
-x = 2 or x = 6
-x = -2 or x = 2
-x = -8 or x = 8

Answer 1

|x/-4| = 2 corresponds to two different equations:

1) -x/4 = 2 if x/-4 is already positive, and

2) x/4 = 2 if -x/4 is negative, due to the absolute value operator

In case 1, -x = 8, or x = -8

and

in case 2, x = 8

so the solution set is {-8, 8}

Double check to ensure that you have copied down this problem correctly. Your " |x/-4| " looks odd/ambiguous

Explanation:

Answer 2

Explanation:

|x/-4| = 2 corresponds to two different equations:

1) -x/4 = 2 if x/-4 is already positive, and

2) x/4 = 2 if -x/4 is negative, due to the absolute value operator

In case 1, -x = 8, or x = -8

and

in case 2, x = 8

so the solution set is {-8, 8}

Double check to ensure that you have copied down this problem correctly. Your " |x/-4| " looks odd/ambiguous