Question

How many solutions exist for 2 |x - 1| = 8?

A. 0
B. 1
C. 2
D. 3

Answer 1

I believe the correct answer is C.

Explanation:

So to get 0 solutions the absolute value would have to equal a negative number. To get 1 solution the absolute value would have to equal 0. To get 2 solutions the absolute value would have to equal a positive number.

2 |x - 1| = 8

divide by 2

|x - 1| = 4

The absolute value equals a positive so it has 2 solutions.