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Solving Systems of Inequalities by Graphing
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Chapter 4 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Solving Systems of Linear Inequalities Solve systems of linear inequalities by graphing. Use a graphing calculator to solve a system of linear inequalities.

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 1 Objective 1 Solve systems of linear inequalities by graphing. Slide

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Solve systems of linear inequalities by graphing. A system of linear inequalities consists of two or more linear inequalities. The solution set of a system of linear inequalities includes all ordered pairs that make all inequalities of the system true at the same time. To solve a system of linear inequalities use the following steps. Step 1: Graph the inequalities. Graph each linear inequality, using the method described in Section 3.5. Slide Step 2: Choose the intersection. Indicate the solution set of the system by shading the intersection of the graphs (the region where the graphs overlap).

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley EXAMPLE 1 Graphing a Linear Inequality Solution: Slide Graph the solution set of the system.

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley EXAMPLE 2 Solving a System of Linear Inequalities Slide Graph the solution set of the system. Solution:

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley EXAMPLE 3 Solving a System of Three Linear Inequalities Slide Graph the solution set of the system. Solution:

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 2 Objective 2 Use a graphing calculator to solve a system of linear inequalities. Slide

Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley EXAMPLE 4 Finding the Solution Set of a System of Linear Inequalities with a Graphing Calculator Slide Use a graphing calculator to graph the solution set of the system from the Example 2. Solution: The crosshatched region represents the solution set.

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