# How do you graph and solve # | 3 - 7 x |>17#?

##### 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.

We can rewrite and solve this inequality as:

First, subtract

Now, divide each segment by

Or.

Or, in interval notation:

To graph this we will draw a 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 outside the two lines to show the interval where the inequality is true.