5.5 Solving Absolute Value Inequalities
1
Students can solve and graph absolute value inequalities.
Thursday, December 10, 2015
Solve the inequality: |x+7| = 8
5.5 Solving Absolute Value Inequalities
2
Difference between inequalities.
AND AND
See either of these and it is like a compound inequality involving the word AND
See either of these and it is like a compound inequality involving the word OR
5.5 Solving Absolute Value Inequalities
3
Example.|x | < 3 |x| > 3
Says
Solutions
Graph
5.5 Solving Absolute Value Inequalities
4
When solving absolute value inequalities there are always two cases to consider.
Case 1: The expression inside the absolute value symbols is positive.
Case 2: The expression inside the absolute value is negative.
5.5 Solving Absolute Value Inequalities
5
5.5 Solving Absolute Value Inequalities
6
5.5 Solving Absolute Value Inequalities
7
|m + 2| < 11Case 1: Inequality is positive (nonnegative) Case 2: Inequality is negative
0
5.5 Solving Absolute Value Inequalities
8
|y 1| < 2
5.5 Solving Absolute Value Inequalities
9
5.5 Solving Absolute Value Inequalities
10
|n 8| 2
5.5 Solving Absolute Value Inequalities
11
|2c 5| < 3
5.5 Solving Absolute Value Inequalities
12
|u + 3| < 7
5.5 Solving Absolute Value Inequalities
13
|3n + 6| 12
5.5 Solving Absolute Value Inequalities
14
|2k + 1| 7
5.5 Solving Absolute Value Inequalities
15
|r 6| 5
5.5 Solving Absolute Value Inequalities
16
|p 2| > 8
Recommended
