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Lesson 6-2
Solving Inequalities by Multiplication and Division
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Definition
• Multiplication Property of Inequalities- If each side of a true inequality is multiplied by the same positive number, the resulting inequality is true.
• If each side of a true inequality is multiplied by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.
![Page 3: Lesson 6-2 Solving Inequalities by Multiplication and Division](https://reader036.vdocuments.site/reader036/viewer/2022083009/5697bf791a28abf838c827ff/html5/thumbnails/3.jpg)
Solve . Then check your solution.
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b
7≥ 25
Ex 1 Multiply by a positive number
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Solve . Then check your solution.
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g
3<12
Multiply by a positive number
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Solve . Then check your solution.
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−2
5p < −14
Multiply by a negative numberEx 2
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Solve . Then check your solution.
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−3
4d ≥ 6
Multiply by a negative number
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Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality.One fourth of a number is less than -7.
One fourth of a number is less than -7.
n -7
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1
4
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Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality.Four-fifths of a number is at most twenty.
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Definition
• Division Property of Inequalities- If each side of a true inequality is divided by the same positive number, the resulting inequality is true.
• If each side of a true inequality is divided by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.
![Page 10: Lesson 6-2 Solving Inequalities by Multiplication and Division](https://reader036.vdocuments.site/reader036/viewer/2022083009/5697bf791a28abf838c827ff/html5/thumbnails/10.jpg)
Solve 14h > 91. Then check your solution.
Ex 4 Divide by a positive number
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Solve 12s 60. Then check your solution.
Divide by a positive number
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Solve -5t 275. Then check your solution.
Divide by a negative numberEx 5
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Solve -8q < 138. Then check your solution.
Divide by a negative number