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3-3 Solving Inequalities Using Multiplication and Division

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Presentation on theme: "3-3 Solving Inequalities Using Multiplication and Division"β€” Presentation transcript:

1 3-3 Solving Inequalities Using Multiplication and Division

2 Multiplying or dividing by a negative number changes the meaning of the inequality. You need to reverse (flip) the inequality symbol to make the inequality true.

3 Multiplication Property of Inequality
Words: Let a, b, and c be real numbers with c > 0 If a > b, then ac > bc If a < b, then ac < bc ex: -2(2) < 3(2) Let a, b, and c be real numbers with c < 0 If a > b, then ac < bc If a < b, then ac > bc ex: 3(-1) < 1(-2)

4 Problem 1/2: Solving an Inequality by Multiplying
π‘₯ 3 <βˆ’2

5 βˆ’ 3 4 𝑀β‰₯3

6 𝑐 8 > 1 4

7 Division Property of Inequality
Words: Let a, b, and c be real numbers with c > 0 𝐼𝑓 π‘Ž > 𝑏, π‘‘β„Žπ‘’π‘› π‘Ž 𝑐 > 𝑐 𝑐 𝐼𝑓 π‘Ž < 𝑏, π‘‘β„Žπ‘’π‘› π‘Ž 𝑐 < 𝑐 𝑐 Let a, b, and c be real numbers with c < 0 𝐼𝑓 π‘Ž > 𝑏, π‘‘β„Žπ‘’π‘› π‘Ž 𝑐 < 𝑐 𝑐 𝐼𝑓 π‘Ž < 𝑏, π‘‘β„Žπ‘’π‘› π‘Ž 𝑐 > 𝑐 𝑐

8 Problem 3/4: Solving an Inequality by Dividing
βˆ’9𝑦≀63

9 3π‘š>6

10 βˆ’5π‘₯>βˆ’10

11 You walk dogs in your neighborhood after school. You earn $4
You walk dogs in your neighborhood after school. You earn $4.50 per dog. How many dogs do you need to walk to earn at least $75?


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