Algebra-1

The correct option is D. No solution.

To solve the equation |x| + 4 = 2, we can isolate the absolute value term by subtracting 4 from both sides of the equation:

|x| = 2 - 4

Simplifying further, we have:

|x| = -2

The absolute value of a number is always non-negative, which means it cannot be equal to a negative value like -2. Therefore, there are no values of x that satisfy the equation |x| + 4 = 2.

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

A. x = 4: This option suggests that x equals 4. However, if we substitute x = 4 back into the original equation, we...