# How do you graph and solve #abs{4x -3} > 13#?

##### 1 Answer

See a solution process below:

#### Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

First, add

Now, divide each segment by

Or

Or, in interval notation:

To graph this we will draw vertical lines at

The lines will be a dashed lines because the inequality operators do not contain an **"or equal to"** clause.

We will shade to the left and right side of the lines respecitively: