Question

Below are the steps to solve an equation:

Step 1: |x − 2| + 3 = 7
Step 2: |x − 2| = 7 − 3
Step 3: |x − 2| = 4

Which of the following is a correct next step to solve the equation?


A) x + 2 = -4

B) -x - 2= 4

C) x + 2 = 4

D) x - 2 = -4

Answer 1

Once you got to |x-2|=4, your two solutions would be found with:

x-2=-4 and x-2=4

Only D) represents one of the above solutions.