# How do you solve #|3- 5n | > 8#?

##### 1 Answer

Sep 22, 2017

#### Explanation:

To solve inequalities involving absolute values we have to solve for the possibility of the expression in the bars being both positive and negative.

First just remove bars:

Subtract 3 from both sides:

Divide both sides by

Now we have to solve for:

Remove bars:

remove bracket:

Add 3 to both sides:

Divide by 11:

These results can be written:

or as a union of intervals:

See graph: