Question

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

A) x = -8
B) x = 0
C) x = 8
D) x = -2
E) x = 4

Answer 1

The values of x that are solutions to the equation |x/-4| = 2 are x = -8 and x = 8.

Step-by-step explanation:

To find the values of x that are solutions to the equation |x/-4| = 2, we will first solve for x when the expression inside the absolute value is positive, and then solve for x when the expression inside the absolute value is negative.

• When x/-4 is positive, we have x/-4 = 2. Multiplying both sides by -4, we get x = -8. So x = -8 is a solution.
• When x/-4 is negative, we have -x/-4 = 2. Simplifying, we get x/4 = 2. Multiplying both sides by 4, we get x = 8. So x = 8 is a solution.

Therefore, the values of x that are solutions to the equation |x/-4| = 2 are x = -8 and x = 8.