Question

how do you solve this absolute value equatuon? 4|x - 1| - 7 = -3
Is it A. x = 1 1/4 or x = 2
B. x = 2 or x = 0
or C. x = 1 1/4 or x = 2 3/4
& why?
Please & thank you.

Answer 1

4|x - 1| - 7 = -3    |add 7 to both sides

4|x - 1| = 4    |divide both sides by 4

|x - 1| = 1 ⇔ x - 1 = 1 or x - 1 = -1    |add 1 to both sides

x = 2 or x = 0

Answer: B.