# How do you solve and graph #(3x - 5) / 2 < 2x + 2#?

##### 1 Answer

Aug 28, 2015

#### Explanation:

Your goal here is to isolate

#(3x-5)/2 < (2x+2) * 2/2#

This is equivalent to

#3x - 5 < 2(2x+2)#

#3x-5 < 4x + 4#

Now move

#3x - 4x < 4+ 5#

#-x < 9#

#x > -9#

This means that your inequality will be satisfied by any value of **bigger** than

You can graph this by drawing a **dashed vertical line** at *to the right* of the dashed vertical line.

graph{x > -9 [-18.02, 18.03, -9.01, 9.01]}