How do you solve and graph #3 ( 2 - x ) > 4 ( 2 - x )#?

1 Answer
Alan P.
Jul 22, 2015

Simplify both sides by expanding the terms; then perform basic arithmetic on both sides (that doesn't involve reversing the sign), to get to get #x > 2#
(see below for graph)

Explanation:

#3(2-x) > 4(2-x)#

#color(white)("XXXX")#expanding both sides
#6 -3x > 8 -4x#

#color(white)("XXXX")#Add #4x# and then subtract #6# from both sides
#x > 2#
graph{x > 2 [-10, 10, -5, 5]}

Related questions
See all questions in Multi-Step Inequalities
Impact of this question
1051 views around the world
You can reuse this answer
Creative Commons License