1. Lesson 5­4.notebook January 03, 2013
Assignment:
1­­>L5.4, pg. 306 ­ 307, #2­22 evens ­ Due Monday (1/7)
2­­>L5.5, pg. 312­313, 2­34 (evens) ­ Due Monday (1/7)
3­­>Chapter 5 Test ­ Monday (1/14)
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2. Lesson 5­4.notebook January 03, 2013
Lesson 5.4 WarmUp:
Solve each inequality.
1) ­8 + 4a < 6a
2) 2y + 11 > 24y
3) 2x + 11 < 5x ­ 10
4) 18 ­ 3(8c + 4) > ­6(4c ­ 1)
5) 46 < 8m ­ 4(2m + 5)
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3. Lesson 5­4.notebook January 03, 2013
Lesson 5.4:
*FYI...some rides at Six Flags have minimum and maximum heights for
riders...
must be at least 52 inches: h > 52
cannot be taller than 72 inches: h < 72
SO...this would be shown as: 52 < h < 72
This is called a COMPOUND INEQUALITY!
*A compound inequality containing and is only true if both inequalities
are true. This is called the intersection of the 2 graphs.
ie... x > 3 and x < 7 would be:
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4. Lesson 5­4.notebook January 03, 2013
*A compound inequality containing or is only true if both inequalities are
true. This is called the union of the 2 graphs.
ie... x > 2 or x < ­1 would be:
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5. Lesson 5­4.notebook January 03, 2013
Lesson 5.4 examples:
Solve each compound inequality. Then graph the solution set.
A) 4 < p ­ 8 and p ­ 14 < 2
B) 4a + 7 > 31 or a < 5
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6. Lesson 5­4.notebook January 03, 2013
Write a compound inequality for each graph.
C)
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
D)
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
E)
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
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