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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.

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.

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.

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.