University:
Everett Community College
Course:
MATH 151 | Calculus I
Academic year:

2013
Views:

161

Pages:

2
Author:

Gretchen Franco

Steps for Solving Absolute Value Inequalities H 25 There are two types of absolute value inequalities; Greater than (Or statements) and less than (And statements). All an absolute value inequality does is talk about the distance away from zero so when working with these inequalities you have two methods depending on whether it is a less than statement or a greater than statement that you use to solve these equations. Less Than Inequalities Greater Than Inequalities General Steps: General Steps:  Set up two inequalities  Solve for x  Set up one inequality  Solve for x Solve: | | Solve: | | Or Or Or Note: When you divide or multiply by a negative number you flip the sign Note: When you divide or multiply by a negative number you flip the sign Question: Why do you flip the sign and make the number negative? Answer: All an absolute value inequality does is talk about the distance away from zero. That means you have the positive distance and the negative distance (see below) Or – But when you divide multiply or divide by a negative number it flips the sign so you end up with Or Practice Problems 1. Solve | | 2. Solve | 3. Solve | 4. Solve | | | | 5. Solve | | Solutions: 1) 4) Or Or 2) 5) 3) Or