Compound 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 < t < 40 or: 32 < t or t > 40

Example 1 “AND” -4 < r – 5 < -1 +5 + 5 +5 1 < r < 4 +5 + 5 +5 1 < r < 4 *the process to solve one side [of a normal inequality], is used to solve ALL parts of a compound inequality Graph: -----------------------------------

Example 2 “AND” r + 8 > -1 and 3r < 3 -8 -8 3 3 r > -9 and r < 1 Graph: -----------------------------------

*two separate inequalities to solve & graph Example 3 “OR” 4v + 3 < -5 OR -2v + 7 < 1 - 3 -3 -7 -7 4v < -8 OR -2v < -6 4 4 -2 -2 v < -2 OR v > 3 *two separate inequalities to solve & graph Graph: -----------------------------------

*two separate inequalities to solve & graph Example 4 “OR” v – 3 < -4 OR v – 3 > 4 + 3 +3 + 3 +3 v < -1 OR v > 7 *two separate inequalities to solve & graph Graph: -----------------------------------

Practice Solve & Graph -3 < z – 1 < 6 ---------------------------- 0 < -8b and -4b < 12 --------------------------- 7t > 49 or 2t < -4 ---------------------------

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