# How do you graph and solve #4<|3x-10|<15#?

##### 1 Answer

Nov 1, 2017

Use

Solve the inequalities and resolve any domain conflicts.

Graph on a number line.

#### Explanation:

Separate into two inequalities:

Subtract 10 from all in inequality [1] and add 10 to all in inequality [2]:

Divide inequality [1.1] by -3 and divide inequality [2.1] by 3:

There are no domain violations, therefore, we can drop the restrictions and write inequality [1.2] in a better form:

Graphing instructions:

- Place circles on a number line at,
#(-5)/3, 2, 14/3, and 25/3# - Shade in the area between
#(-5)/3 and 2,# - Shade in the area between
#14/3 and 25/3#