What is the solution set for abs(2x – 4) = 10?

1 Answer
Aug 29, 2015

x=-3 or x=7

Explanation:

Case 1: 2x-4 >= 0
abs(2x-4) = 10
rarr color(white)("XXX") 2x-4 = 10
rarr color(white)("XXX")2x = 14
rarr color(white)("XXX")x = 7

Case 2: 2x-4 < 0
abs(2x-4) = 10
rarr color(white)("XXX")4-2x =10
rarr color(white)("XXX")-2x = 6
rarr color(white)("XXX")x = -3