Question

What is the sum of the solutions of ?
A. 2
B. 1 1/2

C. -2
D. 0

Answer 1

\(2|x-1| - 4 = -2\)

Divide by 2

\(|x-1| - 2 = -1\)

Add 2

\(|x-1| = 1\)

Absolute Value Property

x-1 = 1 or x-1 = -1

Solve both with addition.

x = 2 or x = 0

Could we have figured out the sum without a complete solution? An interesting exploration.