1 / 18

6.2 Solving Inequalities with Mult. and Div.

This lesson explores solving inequalities using multiplication and division. Topics include whether the inequality switches when multiplying or dividing by a negative value, and examples of solving inequalities and graphing solutions.

eneida
Download Presentation

6.2 Solving Inequalities with Mult. and Div.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 6.2 Solving Inequalitieswith 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. Answer Now 1) When solving > -10will the inequality switch? • Yes! • No! • I still don’t know!

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

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

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

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

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

  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. Answer Now 4) Solve -8p ≥ -96 • p ≥ 12 • p ≥ -12 • p ≤ 12 • p ≤ -12

  16. ● 11 12 13 4) Solve -8p ≥ -96 • Draw “the river” • Divide both sides by -8. Do you switch the inequality? Yes - Both sides are being divided by a negative number • Simplify • Check your answer • Graph the solution {p |p ≤ 12} -8(12) = -96

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

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

More Related