Download presentation

Presentation is loading. Please wait.

Published byMadelyn Heard Modified over 2 years ago

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
**Checking the solution of a linear inequality on a Graphing Calculator**

Separate the inequality into two equations. The intersection of the two lines is at (1,3). You can see this because both y values are the same, – 3. The region in the red box is where the values of y1 is greater than y2. Y2=-x+4 The region on the graph of the red box is where y1 is greater than y2. This is when x is greater than 1. Y1=2x+1

18
**Inequalities with Unusual Solution Sets**

20
Example Solve each inequality:

21
**Solving Compound Inequalities**

23
Example Solve and graph the solution set on a number line.

24
**Solving Inequalities with Absolute Value**

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

27
Example Solve and graph the solution set on a number line.

28
Applications

29
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?

30
**Solve the absolute value inequality.**

(c) (d)

31
**Solve the linear inequality.**

(b) (c) (d)

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google