1. Bell Quiz

2. Objectives Learn to graph inequalities. Write inequalities from a graph.

3. Inequalities

4. Example 1 Identifying Solutions to Inequalities

5. Lesson Practice 1

6. Inequalities Equivalent inequalities are inequalities that have the same solution set. It is not always reasonable to list all the values in a solution set. Instead, a graph on a number line can represent the solution set of an inequality. – The graph shows the endpoint of the solution set as an open or closed circle. – A heavy line and arrow indicate all values that are in the solution set.

7. Graphing Inequalities To create the graph of an inequality, first create a number line that includes the endpoint. Then determine if the endpoint should be shown with an open or closed circle. Finally, from the end point, draw a heavy line an arrowhead to show the solution.

8. Example 2 Graphing Inequalities

9. Example 3 Graphing Inequalities

10. Lesson Practice 2

11. Lesson Practice 3

12. Lesson Practice 4

13. Lesson Practice 5

14. Example 4 Graphing Inequalities

15. Lesson Practice 6

16. Writing Inequalities

17. Example 5 Writing an Inequality from a Graph Write the inequality of the graph.

18. Example 6 Writing an Inequality from a Graph Write the inequality of the graph.

19. Lesson Practice 7 Write the inequality of the graph.

20. Lesson Practice 8 Write the inequality of the graph.

21. Lesson Practice 9 Write the inequality of the graph.

22. Lesson Practice 10 Write the inequality of the graph.

23. Lesson Practice 11 Write the inequality of the graph.

24. Lesson Practice 12 Write the inequality of the graph.

25. Example 7 Application: Practice Time Marie does not take a break until she has practiced playing the violin for at least half an hour. a.Write an inequality to represent the number of hours that Marie must practice before she takes a break. b.Graph the solution set of the inequality.

26. Lesson Practice 13