Chapter 1.8 Absolute Value

Pindling College Algebra   by Example  Series

Key Concept: Understand the absolute value function and know how to manipulate it to solve equations in which it
appears.

Skills to Learn:

1. Know how to interpret basic properties of the absolute value function

2. Know how to solve equations with two absolute values

3. Know how to solve inequalities with absolute value function

4. Know how to solve inequalities with two absolute values

Properties of Absolute Value Function

Number	Property	Example
1		or
2		, then or
3	, then	, then
4		, same as Number 1
5
6
7

Other Examples

Example 8. Solve for x in Remove the absolute value function, | | or and So	Example 9. Solve for Remove absolute value function, | | or and So x = 0 and -6
Example 10. Solve and express solutions in interval notation Remove absolute value function, | | Subtract 3 from both sides of inequalities Divide by 2 or Solutions:	Example 11. Solve and express solution in interval notation Remove absolute value function, | | Subtract 5 from both sides of inequalities Divide by 3 or Solutions:
Example 14. Solve and express solution in interval notation Remove absolute value function, | | (a) and (b) (a) and (b) Solutions:	Example 15. Solve and express solution in interval notation Remove absolute value function, | | (a) and (b) (a) and (b) Solutions