1. 2.4 & 2.5 Absolute Value Inequalities and Equations
Learning Goals
Interpret complicated expressions by viewing one or more of their parts as a single entity
Create equations and inequalities in one variable and use them to solve problems

2. absolute value: distance from zero on a number line
Ex 1

3. Ex 2

4. extraneous solution: a solution to a transformed equation but not the original equation

5. Ex 4

6. Ex 5

7. Absolute Value Inequalities
distance within 5 units in both directions
distance outside 5 units in both directions

8. Ex 6

9. Ex 7

10. Ex 8

11. Ex 9
Ex 10

12. Ex 11 Ex 12 Write each compound inequality as
an absolute value inequality.
Ex 11
Ex 12

13. Absolute Value Statements
symbols
definition
graph
distance from x to 0 is a units
distance from x to 0 is less than a units
distance from x to 0 is greater than a units