october 26, 2012 compound inequalities do now: review for quiz! 1.x + 31 > -5 2.-3x ≥ 18 3.5x...
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October 26, 2012Compound 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
Lesson 6.4 Compound InequalitiesA 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 -4 0 4 8-10 -6 2 10-2-10 6
Solving “Or” Inequalities
Example 1: Solve and Graph.
a + 2 < -4 or 2a > -8
10-8 -4 0 4 8-10 -6 2 10-2-10 6
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 -4 0 4 8-10 -6 2 10-2-10 6
Solving “AND” Inequalities
Example 2: Solve and Graph
6x ≥ -18 and x + 13 < 15
10-8 -4 0 4 8-10 -6 2 10-2-10 6
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 -4 0 4 8-10 -6 2 10-2-10 6