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
𝑥 3 <−2

5. − 3 4 𝑤≥3

6. 𝑐 8 > 1 4

7. Division Property of Inequality
Words: Let a, b, and c be real numbers with c > 0 𝐼𝑓 𝑎 > 𝑏, 𝑡ℎ𝑒𝑛 𝑎 𝑐 > 𝑐 𝑐 𝐼𝑓 𝑎 < 𝑏, 𝑡ℎ𝑒𝑛 𝑎 𝑐 < 𝑐 𝑐 Let a, b, and c be real numbers with c < 0 𝐼𝑓 𝑎 > 𝑏, 𝑡ℎ𝑒𝑛 𝑎 𝑐 < 𝑐 𝑐 𝐼𝑓 𝑎 < 𝑏, 𝑡ℎ𝑒𝑛 𝑎 𝑐 > 𝑐 𝑐

8. Problem 3/4: Solving an Inequality by Dividing
−9𝑦≤63

9. 3𝑚>6

10. −5𝑥>−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?