1. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.4 - 1

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.4 - 2 Graphs, Linear Equations, and Functions Chapter 4

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 4.4 - 3 4.4 Linear Inequalities in Two Variables

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 4 4.4 Linear Inequalities in Two Variables Objectives 1.Graph linear inequalities in two variables. 2.Graph the intersection of two linear inequalities. 3.Graph the union of two linear inequalities.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 5 4.4 Linear Inequalities in Two Variables Graph linear inequalities in two variables. In Section 3.1, we graphed linear inequalities in one variable on the number line. In this section we learn to graph linear inequalities in two variables on a rectangular coordinate system.

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 6 4.4 Linear Inequalities in Two Variables Graph linear inequalities in two variables. Consider the graph below. The graph of the line x + y = –5 (boundary line) divides the points in the rectangular coordinate system into three sets. 1.Those points that lie on the line itself and satisfy the equation x + y = –5. 2.Those that lie in the half- plane above the line and satisfy the inequality x + y > –5. 3.Those that lie in the half- plane below the line and satisfy the inequality x + y < –5.

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 7 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality To graph a linear inequality in two variables, follow these steps.

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 8 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 9 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality True

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 10 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 11 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 12 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality False

13. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 13 4.4 Linear Inequalities in Two Variables Graphing a Linear Inequality ×

14. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 14 4.4 Linear Inequalities in Two Variables Graphing the Intersection of Two Inequalities

15. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 15 4.4 Linear Inequalities in Two Variables Graphing the Intersection of Two Inequalities

16. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 16 4.4 Linear Inequalities in Two Variables Graphing the Union of Two Inequalities

17. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 17 4.4 Linear Inequalities in Two Variables Graphing the Union of Two Inequalities