Download - Lesson 7-5 Pages 350-354
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Lesson 7-5 Pages 350-354
Solving Inequalities by Multiplying or
Dividing
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What you will learn!1. How to solve inequalities by multiplying or dividing by a positive number.
2. How to solve inequalities by multiplying or dividing by a negative number.
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What you really need to know!
Use the Multiplication and Division Properties of Inequalities. When you multiply or divide each side of an inequality by a positive number, the inequality remains true.
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What you really need to know!Know this secret!
For an inequality to remain true when multiplying or dividing each side by a negative number, you must reverse the direction of the inequality symbol!
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Example 1: Solve:
549 x9 9
6x
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Example 1b: Solve:
49
d
36d
)9( )9(
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Example 2:
Martha earns $9 per hour working for a fast food restaurant. Which inequality can be used to find how many hours she must work in a week to earn at least $243?
AA 9x < 2439x < 243BB 9x 9x ≥ 243≥ 243CC 9x > 2439x > 243DD 9x 9x ≤ 243≤ 243
AA 9x < 2439x < 243BB 9x 9x ≥ 243≥ 243CC 9x > 2439x > 243DD 9x 9x ≤ 243≤ 243
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Example 3:
Solve the inequality and graph.
75
x)5( )5(
35x
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35x
-35 -34-37 -36-39 -38 -32-33
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Example 3b:
Solve the inequality and graph.
279 x
3x
9 9
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5 63 41 2 87
3x
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Page 353
Guided Practice
#’s 4-13
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Pages 350-352 with someone at home and
study examples!
Read:
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Homework: Pages 353-354
#’s 14-38 even
#’s 42-57 all
Practice Quiz 2 #’s 1-10PA Lesson Check 7-5
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Link to Lesson 7-5 Review Problems
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Page
741
Lesson 7-5
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PA Lesson Check 7-5