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

Presentation is loading. Please wait....

OK

2.4 – Linear Inequalities in One Variable

2.4 – Linear Inequalities in One Variable

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on mobile number portability Ppt on seasons in arabic Ppt on motivation for college students Ppt on limitation act of trinidad Ppt on conservation of plants and animals download Ppt on duty roster boy Ppt on johari window model+example Ppt on obesity management systems Ppt on credit default swaps and derivatives Ppt on amplitude shift keying modem