# How do you graph and solve # |4x + 1| >= 5#?

##### 1 Answer

#### Answer:

Use the definition of the absolute value function:

to write two inequalities.

Simplify the restrictions.

Solve both inequalities.

Graph.

#### Explanation:

Given:

Use the definition of the absolute value function to write two inequalities:

Simplify the restrictions.

Solve the inequalities:

Because the inequalities do not violate the restrictions, we can drop them:

To graph the first inequality you draw a solid vertical line at

On the same graph, represent the second inequality by drawing a solid vertical line at

Here is that graph: