2. Inequalities and their Graphs 763542 8

3. Objective: To write and graph simple inequalities with one variable

4. Inequalities and their Graphs 763542 8 What is a good definition for Inequality? An inequality is a statement that two expressions are not equal

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

6. Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice colored in circles ≤ less than or equal to ≥ greater than or equal to

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

8. Inequalities and their Graphs Let’s work a few together 7 Notice: when variable is on left side, sign shows direction of solution What #s could I substitute for x To make this inequality true? Any # less than 7

9. 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 Again, what #s would be true? True #s = 2, 1, 0…can you think of other #s?

10. Inequalities and their Graphs Let’s work a few together 8 Notice: when variable is on left side, sign shows direction of solution Color in circle

11. Try this one on the board

12. 12

13. Try this one on the board

14. 12

15. Try this one on the board

16. 2

17. Students will need to draw 1 number line on a sheet of paper like below to answer the next 5 questions.

18. Answer 1 through 5 1.

19. On your Own 2.

20. On your Own 3.

21. On your Own 4.

22. On your Own 5.

23. Answers: 1 through 5 1. 2. 3. 4. 5. 10 13 20 6 15

24. Now, write down at least 3 numbers that would be “true” for the inequalities that you just graphed for #1-5 (write this below each graph) Let’s do #1 together: 1) b ≥ 6 Three #s that would be true are~ 6, 7, and 10 (any # 6 or higher) Now, you try #2-5 on your own

25. Before we check our answers, compare your answers to another person’s paper. Ask for students to share their responses and to explain how they know if those #s are true for that inequality

26. Answers will vary… 3 possible answers are included below 1. 2. 3. 4. 5. 10 13 20 6 15 True #s: 6, 7, 10 True #s: 9, 4, 0 Why is 10 not an option True #s: 16, 25, 100 True #s: 20, 13, -7 True #s: 12, 10, 6

27. Practice/Homework Come up with 5 inequalities on your own ~ 1) You must write the inequality 2) Graph the inequality 3) Write 3 #s that would be true for the inequality

28. Graphing Inequalities Excellent Job !!! Well Done