How to solve absolute value equations and inequalities. Chapter 1.7Algebra IIStandard/Goal 3.2

1. Check and discuss assignment from yesterday. 2. Read, write, and discuss how to solve absolute value equations. 3. Read, write, and discuss how to solve inequalities. 4. Work on given assignment.

Absolute value of a number x, written | x |, is the distance the number is from 0 on a number line.

The absolute value equation | ax + b | = c, where c > 0, is equivalent to the compound statement ax + b = c or ax + b = -c

The inequality | ax + b | < c, where c > 0, means that ax + b is between – c and c. This is equivalent to – c < ax + b < c The inequality | ax + b | > c, where c > 0, means that ax + b is between – c and c. This is equivalent to ax + b c

Larson, R., Boswell, L., Kanold, T., Stiff, L., (2001) Algebra 2 McDougal Littell. Power Point made by: Robert Orloski Jerome High School.