1. Section 1.7 Linear Inequalities and Absolute Value Inequalities

2. Interval Notation

6. Example
Express the interval in set builder notation and graph:

7. Intersections and Unions of Intervals

10. Example
Find the set:

11. Example
Find the set:

12. Solving Linear Inequalities in One Variable

16. Example
Solve and graph the solution set on a number line:

17. Inequalities with Unusual Solution Sets

19. Example
Solve each inequality:

20. Solving Compound Inequalities

22. Example
Solve and graph the solution set on a number line.

23. Solving Inequalities with Absolute Value

25. Example
Solve and graph the solution set on a number line.

26. Example
Solve and graph the solution set on a number line.

27. Applications

28. Example
A national car rental company charges a flat rate of $320 per week for the rental of a 4 passenger sedan. The same car can be rented from a local car rental company which charges $180 plus $ .20 per mile. How many miles must be driven in a week to make the rental cost for the national company a better deal than the local company?

29. Solve the absolute value inequality.
(c)
(d)

30. Solve the linear inequality.
(b)
(c)
(d)