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3.3 Solving Inequalities Using ×/÷

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Presentation on theme: "3.3 Solving Inequalities Using ×/÷"— Presentation transcript:

1 3.3 Solving Inequalities Using ×/÷
Objective: SWBAT solve inequalities using multiplication and division.

2 Mini Quiz 21 1. Solve and graph 6 + b – 7 < 5 2. Solve and graph
3. Is -5 a solution to the inequality n > -17

3 Overview Solving inequalities using multiplication and/or division
Solving and checking solutions

4 Quick Review 1. Solve and graph k ≥ 6
2. For inequalities, what are the two types of checks you need to do? check computation and check inequality

5 Question: When do you switch the signs?
Multiply 3 to each side: < 9 -15 __ 27 2. 3 > 1 9 __ 3 Divide 3 to each side: < 33 -5 __ 11 > -21 -3 __ -7 Multiply -3 to each side: 5. 5 < 9 -15 __ -27 > -3 3 __ 9 Divide -3 to each side: < 33 5 __ -11 > -9 -9 __ 3 < > > < < > > < Answer: When you х or ÷ by a negative number!!!

6 Multiplication and Division of Inequalities
Solve and graph each inequalities 9. -5x ≥ 25 x ≤ -5 Checking your solution: Check Computation -5x = 25 -5(-5) = 25 25 = 25 2. Check Inequality -5x ≥ 25 -5(-6) ≥ 25 30 ≥ 25 -5

7 Multiplication and Division of Inequalities
Solve and graph each inequalities ( solutions) 9. -5x ≥ 25 t < -8 11. 12. x ≤ -5 t > 4 n > 2 y < -2

8 Application 13. The student council votes to buy food for a local food band. A case of 12 jars of spaghetti sauce costs $ What is the greatest number of cases of sauce the student council can buy if they use at most $216 for this project? 13.75c ≤ 216 c ≤ The most they can buy is 15 cases.

9 Wrap Up Solve inequalities by Check solutions
×/÷ Check solutions  computation  inequality HW: P #1-41 EOO; odd Write DLUQ: When do you need to switch the signs?


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