Lesson 6.6 – Solving Absolute Value Inequalities The

Lesson 6.6 – Solving Absolute Value Inequalities The inequality means the distance between

Notice when you have

and

is less than

units

the graph is an “and” compound inequality

The inequality means the distance between

Notice when you have

and

is more than

units

the graph is an “or” compound inequality.

Solving Absolute Value Inequalities Ex

Solve and Graph

We will now solve absolute value inequalities that contain polynomials inside the symbols instead of just a variable. Be sure to isolate the absolute value term first Draw a quick sketch to help you write the inequalities or use the formulas Solve each inequality to find the solution set Graph the final solution set

Solve and Graph