1. Section 6.5: Linear Inequalities

2. Is the ordered pair a solution for y > x – 3? A) (1,2) How do we know if (1,2) is a solution? y > x - 3 ( ) > ( ) - 3 1 2 A) (1,2) True: (1,2) is a solution. 2 > -2 True or False? B) (-3,-7) y > x - 3 ( ) > ( ) - 3 B) (-3,-7) -7 -3 -7 > -6 True or False? False: (-3,-7) is not a solution.

3. Jim has saved $48. He plans to use the money to buy some old books and movies at the Half-Price bookstore. Books cost $6 and movies cost $8. Inequality: Graphing Inequalities: Two-Variables 6b + 8m ≤ 48 booksmovies

4. Steps to graph an inequality 1.Graph like normal (slope and y-intercept) 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point (not on the line): Shade the truth Slope = y-int = Solid or dashed? Test point = ¾2 SOLID (0,0) y < ¾ x + 2 0 < ¾(0) + 2 0 < 2 TRUE y < ¾ x + 2

5. 1.Graph like normal 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point (pt not on the line) Shade the truth Steps to graph an inequality Slope = y-int = Solid or dashed? Test point = -2 3 dashed (0,0) y < -2x + 3 0 < -2(0) + 3 0 < 3 TRUE y < - 2x + 3

6. Steps to graph an inequality 1.Graph like normal (slope and y-intercept) 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Slope = y-int = Solid or dashed? Test point = 30 SOLID (4,4) y > 3x 4 > 3(4) 4 > 12 FALSE y > 3x

7. Steps to graph an inequality 1.Graph like normal 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Slope = y-int = Solid or dashed? Test point = 02 SOLID (0,0) y > 2 0 >2 FALSE y > 2

8. Steps to graph an inequality 1.Graph like normal (slope and y-intercept) 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Slope = y-int = Solid or dashed? Test point = undefined dashed (4,4) x > 2 4 > 2 true x> 2

9. 1.Graph like normal 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Steps to graph an inequality x-int = y-int = Solid or dashed? Test point = 4-3 dashed (0,0) 3x – 4y > 12 3(0) - 4(0) > 12 0 > 12 FALSE 3x – 4y > 12

10. 1.Graph like normal 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Steps to graph an inequality x-int = y-int = Solid or dashed? Test point = 4-2 SOLID (0,0) 2x – 4y > 8 2(0) - 4(0) > 8 0 > 8 FALSE 2x – 4y > 8

11. Steps to graph an inequality 1.Graph like normal (slope and y-intercept) 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth Slope = y-int = Solid or dashed? Test point = -⅓1 dashed (0,0) y > -⅓ x + 1 0 > -⅓(0) + 1 0 > 1 FALSE y > -⅓ x + 1

12. Which inequality represents the graph at the right? A. y 2x + 1 B. y < x + 1D. y < 2x + 1 A. y < 2x + 1

13. Assignment for 6.5 Pg 397: 8-11, 14-21, 22-34 evens, 37

14. Elimination or substitution worksheet (34 points) 1.(4,1)2. (-1, 3) 3.(8,3)4. (7, 2) 5.(12, 9)6. (1, -5) 7. (3, 4)8. (2, 2) 9.(1, 8)10. (-4, 3) 11.(6, 3)12. (4, -5) 13.(-3, -4)14. (6, -5) 1. (2,-3)2. (-1,-1)3. (1,2)