1. Review topics Inequalities

2. Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write –6x + 2y = –4 in slope-intercept form, and graph. y = 3x – 2

3. Inequalities and their Graphs What is a good definition for Inequality? An inequality is a statement that two expressions are not equal

4. Inequalities

5. Two types Graphing on a number line: Graphing on a coordinate graph

6. Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice open circles < less than > greater than

7. Inequalities and their Graphs Notice colored in circles ≤ less than or equal to ≥ greater than or equal to

8. Inequities in coordinate plane match each inequality with a graph.

9. Objective - To graph linear inequalities in the coordinate plane. Number LineCoordinate Plane -4 -3 -2 -1 0 1 2 3 4 y x x = 3

10. Number LineCoordinate Plane -4 -3 -2 -1 0 1 2 3 4 y x y = -2

11. Boundary Line Test a Point False! y x

12. If y = mx + b, soliddashed shade up shade down

13. Boundary Line Dashed line Shade up y x If y = mx + b,

14. y x Solid line Shade up If y = mx + b,

15. y x Dashed line Shade down If y = mx + b,

16. y x Solid line Shade up If y = mx + b,

17. y x Dashed line Shade up If y = mx + b,

18. y x Dashed line Shade Down If y = mx + b, Write the inequality described by the graph below. -4 +3+3

19. Determine whether the given point is a solution to the inequality -2x + 3y < 9. 1) (2, -3) Yes, (2,-3) is a solution. 2) (3, 5) No, (3,5) is not a solution.

20. Problem If you have less than $5.00 in nickels and dimes, find an inequality and sketch a graph to describe how many of each coin you have. Let n = # of nickels Let d = # of dimes 0.05 n + 0.10 d < 5.00 or 5 n + 10 d < 500

21. nd 0 50 1000 0 10 20 30 40 50 60 70 80 90 100 n d 60 50 40 30 20 10 0

22. Test Yourself Click here to go through a multiple choice question setClick here to go through a multiple choice question set

23. ON YOUR OWN: Review your notes. Rewrite and fortify them if needed. Update your vocab list, if needed. See worksheet handed out in class.