Question

Which values of x satisfy the equation |x| = 2? Select all correct answers from the following options:

A) 2
B) 1/2
C) -2
D) 4

Answer 1

The values of x that satisfy the equation |x| = 2 are 2 and -2.

Step-by-step explanation:

To find the values of x that satisfy the equation |x| = 2, we need to consider both the positive and negative solutions.

If x is positive, then |x| = x. So, we have x = 2.

If x is negative, then |x| = -x. So, we have -x = 2. Solving for x, we get x = -2.

Therefore, the correct values of x that satisfy the equation are A) 2 and C) -2.