1 / 11

Lesson 3.6 Solving Multi-Step Inequalities

Lesson 3.6 Solving Multi-Step Inequalities. Skill Check. Lesson Presentation. Lesson Quiz. Skill Check. Solve. 1 . x – 5 = -4. x = 1. 2 . 23 = d + 7. d = 16. 3 . -2 w > -4. w < 2. 4. a ÷ -5 < -8. a > 40. Vocabulary. Inequality:.

shayla
Download Presentation

Lesson 3.6 Solving Multi-Step Inequalities

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. Lesson 3.6Solving Multi-Step Inequalities Skill Check Lesson Presentation Lesson Quiz

  2. Skill Check Solve. 1. x – 5 = -4 x = 1 2. 23 = d + 7 d = 16 3. -2w> -4 w< 2 4. a ÷ -5 < -8 a > 40

  3. Vocabulary Inequality: Is a mathematical statement formed by placing an inequality symbol between two expressions. Symbols are: <, >, <, >

  4. Study Strategy Be Careful when combining steps, moving variable terms and constant terms in a single step, until you become proficient at the solution process. Check your answer, always 

  5. 1 EXAMPLE Solving a multi-step Inequality Solve. a. -6 > (g ÷ -5) – 2 b. 3y – 5 < 2(17 – 5y) c. (-5s – 8) ÷ 4 > -22 SOLUTION b. 3y – 5 < 2(17 – 5y) c. (-5s – 8) ÷ 4 > -22 a. -6 > (g ÷ -5) – 2 3y – 5 < 34 – 10y -5s – 8 > -88 -4 > g ÷ -5 g> 20 13y < 39 -5s> -80 y < 3 s< 16 0 20 0 3 0 16

  6. 2 EXAMPLE Writing and Solving a Multi-Step Inequality Weather A city’s record rainfall for the month of October is 16.8 inches. So far in October this year, 11.2 inches of rain have fallen. Find the average number of inches of rain that must fall each day to break the record if there are 14 days left in the month. 11.2 + 14(r) > 16.8 The average number of inches of rain that must fall each day to break the record if there are 14 days left in the month is more than0.4 inches. 14r > 5.6 r > 0.4 0 0.4

  7. 3 EXAMPLE Combining Like Terms in a Multi-Step Inequality Exercise A gym charges 15000 won for membership. Members pay 8000 won for exercise classes and nonmembers pay 12000 won. How many exercise classes does Jackie need to attend for the cost of membership to be less than paying as a nonmember. 15000 + 8000n < 12000n 4000n > 15000 n > 3.7 Jackie needs to attend at least 4 exercise classes for the cost of membership to be less than paying as a nonmember.

  8. Lesson Quiz Solve the Inequality. Graph your solution. 1. 2 + 3k > 35 k > 11 0 11 2. 12 < 9 – (m ÷ 3) m< -9 -9 0 3. Is -3 a solution of 6 + 4z> 7z + 11? Yes 4. Find all the values of x that make both of the following inequalities true: 5 < 4x + 13 and 8 + 3x< 20. x = {-1, 0, 1, 2, 3, 4} or -2<x<4 -2 0 4

  9. Closure • 1.) What must you do with the variables when solving a multi-step inequality that has variables on both sides? You must get the variables preferably on the left side of the inequality and the constant terms on the other side.

  10. Challenge • 2.) For what value(s) of a do the inequalities ax – 9 > 3 and 10 <(x/a)+ 7 have the same solution? a = ±2 

  11. Lesson 3.6 Homework: • pp.153-155 Exs. (10, 12, 18, 20, 22, 26, 28, 30, 32, 34, 48, 49)

More Related