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.

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

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:

Solving “Or” Inequalities Example 1: Solve and Graph. a

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

Example 3: Compound Inequalities using “and” “AND” inequalities are an intersection of the graphs of two inequalities. Graph: x < 2 and x ≥

Solving “AND” Inequalities Example 2: Solve and Graph 6x ≥ -18 and x + 13 <

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

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