1. Absolute Value Inequalities
Lesson 4-8

2. Math Vocabulary Review
Inequality: A math sentence or statement that compares (<, >, <, >) a point/points on a number line 5 > m Compound Inequality: Two inequalities that are joined by the word and or the word or. and: 32 < t < 40 or: 32 < t or t > 40

3. Example 1
Absolute Value | n | < 8 abs val isolated? opposite side = positive? n < 8 n > -8 Graph:  

4. Example 2
Absolute Value | v – 3 | > 4 abs val isolated? opposite side = positive? v – 3 > 4 v – 3 < v > 7 v < -1 Graph:  

5. Example 3
Absolute Value 4 + | 3m – 2 | > | 3m – 2 | > 2 3m – 2 > 2 3m – 2 < m > 4 3m < m > 4/3 m < 0 Graph:  

6. Practice
Solve & Graph
-3 < | z – 1 |  
| z – 1 | >  
-2| z + 4| >  

7. Homework
p. 199 #30-34, 36-42