1. Absolute Value Inequalities AKA: Compound 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 40

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

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

5. Example 3 Absolute Value 4 + | 3m – 2 | > 6 -4 -4 | 3m – 2 | > 2 3m – 2 > 2 3m – 2 < -2 + 2 +2 +2 +2 3m > 4 3m < 0 3 3 m > 4/3 m < 0 Graph:  ----------------------------------- 

6. Practice Solve & Graph a)-3 < | z – 1 |  ----------------------------  b)| z – 1 | > 6  ---------------------------  c)-2| z + 4| > -16  --------------------------- 

7. Homework p. 198 #3-6, 13-24 (skip 16, 18, 19)