Copyright © 2011 Pearson, Inc. 7.5 Systems of Inequalities in Two Variables.

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Copyright © 2011 Pearson, Inc. 7.5 Systems of Inequalities in Two Variables

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Graph of an Inequality Systems of Inequalities Linear Programming … and why Linear programming is used in business and industry to maximize profits, minimize costs, and to help management make decisions.

Copyright © 2011 Pearson, Inc. Slide Steps for Drawing the Graph of an Inequality in Two Variables 1.Draw the graph of the equation obtained by replacing the inequality sign by an equal sign. Use a dashed line if the inequality is. Use a solid line if the inequality is ≤ or ≥. 2.Check a point in each of the two regions of the plane determined by the graph of the equation. If the point satisfies the inequality, then shade the region containing the point.

Copyright © 2011 Pearson, Inc. Slide Example Graphing a Linear Inequality

Copyright © 2011 Pearson, Inc. Slide Example Graphing a Linear Inequality

Copyright © 2011 Pearson, Inc. Slide Example Solving a System of Inequalities Graphically

Copyright © 2011 Pearson, Inc. Slide Example Solving a System of Inequalities Graphically

Copyright © 2011 Pearson, Inc. Slide Linear Programming

Copyright © 2011 Pearson, Inc. Slide Example Solving a Linear Programming Problem

Copyright © 2011 Pearson, Inc. Slide Example Solving a Linear Programming Problem

Copyright © 2011 Pearson, Inc. Slide Example Solving a Linear Programming Problem

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions