Algebra-1

The correct option is C. No solution.

The equation |x| = -4 represents the absolute value of x, which is always a non-negative value. However, -4 is a negative number, which means it is not possible for the absolute value of x to equal -4.

Let's examine the other options to understand why they are not correct:

A. x = 4 or x = -4: This option suggests that x can be either 4 or -4. However, the absolute value of a number is always non-negative, so it cannot be equal to -4.

B. x = -4: This option suggests that x is equal to -4. However, as ment...