How do you solve # 3x <5x + 8#?

1 Answer
mason m
Mar 13, 2016

#x> -4#

Explanation:

At first, solve this just like you would an equation.

Subtract #5x# from both sides.

#3x-5x < 5x+8-5x#

#-2x < 8#

Now, divide both sides by #-2#. Be careful! Recall that multiplying or dividing an inequality will switch the direction of the inequality sign as well.

So, here, the inequality sign will switch from #<# to #># when we divide by #-2#, giving the final inequality:

#x > 8/(-2)#

#x > -4#

Related questions
See all questions in Multi-Step Inequalities
Impact of this question
2435 views around the world
You can reuse this answer
Creative Commons License