1. 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 greater than 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 Solving Pg 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 + 4 f ≤ 500 -160 -160 4f ≤ 340 Volunteer 4 4 to graph this f ≤ 85

14. Example #2: Volunteer to graph the answer 4 – 7p ≤ 2 5 -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 -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