# How do you graph and solve #|x + 4| <= 6#?

##### 1 Answer

Oct 16, 2017

#### 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 solve the problem using this system of inequalities:

Or

Or, in interval notation:

To graph this we will draw two vertical lines at

The lines will be a solid line because the inequality operators contain an **"or equal to"** clause.

We will shade between the lines because the interval notation shows a space between the two lines: