1. October 26, 2012 Compound Inequalities DO NOW: Review for Quiz! 1.x + 31 > -5 2.-3x ≥ 18 3.5x – 4 < -34 + 3x 4. 8 more than a number is at least 22. HW 6.4 WS both sides - all

2. Lesson 6.4 Compound Inequalities A Compound Inequality is an inequality that combines two inequalities in one. Compound Inequalities using “OR” b > 2 or b ≤ -3 “b is greater than 2 or b is less than or equal to -3” Graph: 10 -8-4048 -10 -6210-2-106

3. Solving “Or” Inequalities Example 1: Solve and Graph. a + 2 -8 10 -8-4048 -10 -6210-2-106

4. Your turn… Solve and Graph 1.3x – 5 ≤ -2 or -5x < -15 2. 3 < 3w or w + 6 ≤ -1

5. Example 3: Compound Inequalities using “and” “AND” inequalities are an intersection of the graphs of two inequalities. Graph: x < 2 and x ≥ -1 10 -8-4048 -10 -6210-2-106

6. Solving “AND” Inequalities Example 2: Solve and Graph 6x ≥ -18 and x + 13 < 15 10 -8-4048 -10 -6210-2-106

7. Example 3 Solve and graph: - 9 ≤ 4y – 3 ≤ 13 The fancy “and” inequalities Step 1: Solve as two separate inequalities Step 2: Graph both inequalities on one graph. 10 -8-4048 -10 -6210-2-106

8. Guess what??? Your turn… 1.-1 < x + 2 ≤ 8 2. -6x > -36 and x + 23 >25