1. 6.2 Solving Inequalities with Mult. and Div. solve inequalities using multiplication and division. PFA 7 and 9 Designed by Skip Tyler, Varina High School Edited by Eddie Judd, Crestwood Middle School Edited by Dave Wesley, Crestwood Middle School

2. Investigate If 5 > 2, can I multiply each side by 10 and keep the inequality true? If 5 > 2, can I multiply each side by -10 and keep the inequality true?

3. Investigate If 4 < 12, can I divide each side by 2 and keep the inequality true? If 4 < 12, can I divide each side by -2 and keep the inequality true?

4. What do we know? Multiply or divide by a ____________ will not affect the inequality. Sign ________ Multiply or divide by a ____________ will affect the inequality. Sign ________

5. Let’s look at this idea again! What if my original inequality contains a negative value? (multiply) For example: -5 < 10

6. Conclusion What if my original inequality contains a negative value? (divide) For example: 8 > -2 Do I still agree?

7. YES !

8. 1) When solving > -10 will the inequality switch? 1.Yes! 2.No! 3.I still don’t know! Answer Now

9. 1) Solve < -10 o -30-29-31 {x | x < -30} 1.Draw “the river” 2.Clear the fraction - Multiply both sides by 3. Do you switch the inequality? No - Both sides are being multiplied by a positive number 3.Simplify 4.Check your answer 5.Graph the solution

10. o -4-3-5 o -4-3-5 ● -4-3-5 -4-3-5 ● 1. 2. 3. 4. Answer Now 2) Which graph represents the correct answer to > 1

11. 2) Solve > 13 o -52-51-53 { k | k < -52} 1.Draw “the river” 2.Clear the fraction - Multiply both sides by -4 3.NEW STEP!! When multiplying BOTH sides by a NEGATIVE number, SWITCH the inequality! 4.Simplify 5.Check your answer 6.Graph the solution

12. 3) When solving will the inequality switch? 1.Yes! 2.No! 3.I still don’t know! Answer Now

13. 3) Solve o -24-23-25 {x | x > -24} 1.Draw “the river” 2.Clear the fraction - Multiply both sides by -4. Do you switch the inequality? Yes - Both sides are being multiplied by a negative number 3.Simplify 4.Check your answer 5.Graph the solution

14. Take a quick break! Things that make you go.....Hmmm Why is abbreviation such a long word? Why do they have braille dots on the ATM machines in drive-thru’s?

15. 4) Solve -8p ≥ -96 1.p ≥ 12 2.p ≥ -12 3.p ≤ 12 4.p ≤ -12 Answer Now

16. 4) Solve -8p ≥ -96 1.Draw “the river” 2.Divide both sides by -8. Do you switch the inequality? Yes - Both sides are being divided by a negative number 3.Simplify 4.Check your answer 5.Graph the solution {p | p ≤ 12} -8(12) = -96 ● 121311

17. o -15-14-16 o -15-14-16 ● -15-14-16 -15-14-15 ● 1. 2. 3. 4. Answer Now 5) Solve 7v < -105

18. Assignment Page 305 13-33 odds and 46-49 all