How do you solve and graph #4x + 3 < 5x#?

1 Answer
smendyka
Dec 24, 2016

#x > 3#

Explanation:

First, isolate the #x# terms on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:

#4x + 3 - color(red)(4x) < 5x - color(red)(4x)#

#4x - color(red)(4x) + 3 < (5 - 4)x#

#0 + 3 < 1x#

#3 < x#

To solve in terms of #x# we must reverse or "flip" the inequality:

#x > 3#

Related questions
See all questions in Multi-Step Inequalities
Impact of this question
1420 views around the world
You can reuse this answer
Creative Commons License