Question

Solve for x: |x − 2| + 10 = 12

x = 0 and x = 4

x = −4 and x = 0

x = −20 and x = 4

No Solution

Answer 1

+ or - (x - 2) + 10 = 12
+ or - (x - 2) = 12 - 10 = 2
x - 2 = 2 or -(x - 2) = 2
x - 2 = 2 or -x + 2 = 2
x = 2 + 2 or x = 2 - 2
x = 4 or x = 0
i.e. first option.

Answer 2

1. If x-2≥0, x≥2
x-2+10=12
x+8=12
x=12-8
x=4
2.If x-2≤0, x≤2
-(x-2)+10=12
-x+2+10= 12
x = 0
Answer: A) x=0 and x=4