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Chapter 2

Chapter 2. Ms. Fisher. Graphing and Writing Inequalities. Inequality : is a statement that two quantities are not equal. < > ≤ ≥ ≠ A solution of an inequality : is any value of the variable that makes the inequality true. 2x > -4 2x/2 >-4/2

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Chapter 2

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  1. Chapter 2 Ms. Fisher

  2. Graphing and Writing Inequalities Inequality: is a statement that two quantities are not equal. < > ≤ ≥ ≠ A solution of an inequality: is any value of the variable that makes the inequality true. 2x > -4 2x/2 >-4/2 x >-2

  3. How to graph properly: Graphing Example 1. x<2 ½          Example 2. x≥2 ½ ~ all real numbers less       ~ all real numbers than 2 ½                                       greaterthan or equal to 2 ½ • Example 1: • Example 2:

  4. Guided Practice pg 103 Volunteers to the board! #’s 2-5

  5. Practice and Problem SolvingPg 103 #’s 18-31

  6. Agenda: • Go over Parking Lot Questions • Teach new Skill Sections 2.2 & 2.3 • Solving inequalities by adding/subtracting(we touched on this yesterday) & Solving inequalities by Multiplying/dividing • Complete a few problems from Guided Practice Together • Do Independent Practice

  7. Section 2.2 Adding/Subtracting Inequalities x + 9 < 15 -9 -9 x < 6 Who wants to come up and graph this?!

  8. 2.3 Solving Inequalities by Multiplying 3x > -27 3x/3 > -27/3 x > -9 Who would like to graph this on the board?! Volunteers…

  9. Problems: Pg. 109 7-10 Pg. 115 18-23 Nicollette & Joe work one on one with Mrs. Ruzicka (go to the right side of the room)

  10. Agenda: • Go over Parking Lot Questions From section 2.2 & 2.3 • Brain Teaser • Teach new Skill Section 2.4-Solving Two Step and Multi Step Inequalities • Complete a few problems from Guided Practice Together • Do Independent Practice

  11. Answer to HW Questions: Please check your answers closely! We need to go over something!!! The “arrow rule” > -----------> The “arrow rule” ONLY works(holds true) if the variable is found on the left side of the inequality! **If this is a tool/hint that you use and helps you, then you must ALWAYS place the variable on the left side of the sign**

  12. HW Answers: Page 109 7. a ≥ 5 8. q< 3.3 9. x< 15 10. r ≤ ½ Page 115 18. t>5 19. j≤12 20. c> -10 21. d<7 22. w≥ -8 23. h≤ 8/7

  13. 2.4 Solving Two-Step and Multi-Step Inequalities Example #1: 160 + 4f ≤500 -160 -160 4f ≤ 340 Volunteer 44 to graph this f ≤ 85

  14. Example #2: Volunteer to graph the answer 4 – 7p ≤ 25 -4 -4 – 7p≤ 21 -7 -7 p ≤ -3

  15. **Pay close attention** Variable is on the right side! -4 + (-8) < -5c -2 Combine like terms -12 < -5c-2 +2 +2 -10 < -5c Dividing by (-) -5 -5 must flip sign 2 > c (Variable on rt side so flip again to graph.. c<2)

  16. Volunteer…. Guided Practice 2m + 1 > 13

  17. Independent Practice: Page 123 16,17,19,20,21,25,28,30,39,42

  18. Agenda: • Go over Parking Lot Questions From section 2.4 • Brain Teaser • Teach new Skill Section 2.5-Solving Inequalities with Variables on both sides • Complete a few problems from Guided Practice Together • Do Independent Practice

  19. HW: Answers pg123 16. r >4 21. x<-6 17. x ≤ 1 25.w>0 19. w< -2 28.x>-9 20. v≤ 12 30.h≥17 39. x≤2 42. x<0

  20. 2.5 Solving Inequalities w/ Variables on both sides x < 3x + 8 Get x to the side which -x -x keeps x positive! 0 < 2x +8 -8 -8 -8 < 2x 2 2 -4 < x Variable is on the right though so flip it! x > -4 -4

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