Question

How many solutions does the absolute value equation below have?

|x – 3| = 2
A.three
B.two
C.one
D.no solution

Answer 1

Two solutions |x-3|=2
X-3=2
X-3=-2
Solve for X
X=5
X=1
Plug into check of true
|5-3|=2
|2|=2 true
|1-3|=2
|-2|=2
2=2 true