Absolute Value Inequalities AKA: Compound Inequalities Lesson 4-8

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

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

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

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

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

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