1. Inequalities and Their Graphs Objective: graph and determine solutions of inequalities.

2. Quick Review 1. Name each inequality 2. Fill in the correct inequality a. 5 __ 7b. 0 __ -3 c. -4 __ -1d. -0.1 __ -0.01 3.Graph each number on the number line: a. 0b. 4c. -2 <>≤≥ 0 Less ThanGreater Than Less Than or equal to Greater Than or equal to < < > <

3. Inequality Symbols Reminder: “Less Than” has a L in italics (that’s tripping), which looks like this < The “Equal To” part fills in the dot… SymbolVocabularyGraphed OPEN CLOSE

4. Open or Solid? Tell whether the following is an open dot or close dot: 1. x > 7 2. x - 1 ≤ 23 3. 5y < -3 4. -2x + 3 > -5 5. -8 ≥ -y – 4 OPEN CLOSE OPEN CLOSE

5. Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3 0 0 0 0

6. Writing an Inequality Write an inequality for each graph 10. x > 2 11. x ≤ 0 12. x ≥ 1 13. x < -3 0 0 0 0

7. Mental Math 14. Is each number a solution of x ≤ 7? a. 9 b. 15. Is each number a solution of x > -4.1? a. -5 b. -4.1 c. 8 d. 0 No Yes No Yes

8. Identifying Solutions by Evaluating 16. Is each number a solution of 2 – 5x > 13? a. -4 b. 3 17. Is each number a solution of 6x – 3 > 10? a. 1 b. 2 c. 3 d. 4 Yes No Yes

9. 1) Graph the solution set of x < 3. When you have, use an open dot! o

10. 4) Which inequality would have a closed dot on the number line? 1. > 2. < 3. ≥ 4. ≠ Answer Now

11. 5) Which inequality does NOT use an open dot on the number line? 1. ≤ 2. < 3. > 4. ≠ Answer Now

12. 9) What is the graph of 7 ≤ m? o 786 o 786 ● 786 786 ● 1. 2. 3. 4. Answer Now

13. Inequalities and their Graphs Let’s work a few together 3 Notice: when variable is on left side, sign shows direction of solution

14. Inequalities and their Graphs Let’s work a few together 7 Notice: when variable is on left side, sign shows direction of solution

15. Inequalities and their Graphs Let’s work a few together -2 Notice: when variable is on left side, sign shows direction of solution Color in circle

16. 8 Notice: when variable is on left side, sign shows direction of solution Color in circle

17. Try this one on your own

18. 12

19. On your Own

20. 12

21. On your Own

22. 2

23. Answer 1 through 5 1.

24. On your Own 2.

25. On your Own 3.

26. On your Own 4.

27. On your Own 5.

28. Answer 6 through 10 6. b ≤ -7

29. 7. a > 8 On your Own

30. 8. q ≥ -5 On your Own

31. 9. s < 14 On your Own

32. 10. m ≥ 8 On your Own