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

1 Answer
Alan P.
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#

Related questions
See all questions in Absolute Value Equations
Impact of this question
1295 views around the world
You can reuse this answer
Creative Commons License