# How do you solve and graph #4x-3<2x#?

##### 1 Answer

#### Answer:

#### Explanation:

You can solve this inequality by isolating

This can be done in three steps. First, add

#4x - color(red)(cancel(color(black)(3))) + color(red)(cancel(color(black)(3))) < 2x + 3#

#4x < 2x + 3#

Now add

#4x - 2x < color(red)(cancel(color(black)(2x))) - color(red)(cancel(color(black)(2x))) + 3#

#2x < 3#

Finally, divide both sides of the inequality by

#(color(red)(cancel(color(black)(2)))x)/color(red)(cancel(color(black)(2))) < 3/2#

#x < color(green)(3/2)#

To graph the solution set for this inequality, draw a **dotted** vertical line parallel to the

Since you want all the **smaller** than *left* of

The dotted line signifies that

graph{x<3/2 [-10, 10, -5, 5]}