Question

Which of the following equations have no solution? Select all that apply.

A) |x + 3| = 3
B) -|x + 3| = 3
C) |x + 3| + 3 = 3
D) |x + 3| + 6 = 3

Answer 1

B) -|x + 3| = 3

D) |x + 3| + 6 = 3

Explanation:

A) |x + 3| = 3

B) -|x + 3| = 3

Divide by -1

|x + 3| = -3

Absolute values are 0 or positive so this cannot have a solution

C) |x + 3| + 3 = 3

Subtract 3 from each side

|x + 3| + 3-3 = 3-3

|x + 3| = 0

D) |x + 3| + 6 = 3

Subtract 6 from each side

|x + 3| = -3

Absolute values are 0 or positive so this cannot have a solution