Absolute Value 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 < t < 40 or: 32 < t or t > 40

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

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: -----------------------------------

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 3 3 m > 4/3 m < 0 Graph: -----------------------------------

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

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