Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byMarybeth Harvey Modified over 9 years ago

Similar presentations

Presentation on theme: "Copyright © 2011 Pearson, Inc. 7.5 Systems of Inequalities in Two Variables."— Presentation transcript:

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

2 Copyright © 2011 Pearson, Inc. Slide 7.5 - 2 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.

3 Copyright © 2011 Pearson, Inc. Slide 7.5 - 3 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.

4 Copyright © 2011 Pearson, Inc. Slide 7.5 - 4 Example Graphing a Linear Inequality

5 Copyright © 2011 Pearson, Inc. Slide 7.5 - 5 Example Graphing a Linear Inequality

6 Copyright © 2011 Pearson, Inc. Slide 7.5 - 6 Example Solving a System of Inequalities Graphically

7 Copyright © 2011 Pearson, Inc. Slide 7.5 - 7 Example Solving a System of Inequalities Graphically

8 Copyright © 2011 Pearson, Inc. Slide 7.5 - 8 Linear Programming

9 Copyright © 2011 Pearson, Inc. Slide 7.5 - 9 Example Solving a Linear Programming Problem

10 Copyright © 2011 Pearson, Inc. Slide 7.5 - 10 Example Solving a Linear Programming Problem

11 Copyright © 2011 Pearson, Inc. Slide 7.5 - 11 Example Solving a Linear Programming Problem

12 Copyright © 2011 Pearson, Inc. Slide 7.5 - 12 Quick Review

13 Copyright © 2011 Pearson, Inc. Slide 7.5 - 13 Quick Review Solutions

14 Copyright © 2011 Pearson, Inc. Slide 7.5 - 14 Chapter Test

15 Copyright © 2011 Pearson, Inc. Slide 7.5 - 15 Chapter Test

16 Copyright © 2011 Pearson, Inc. Slide 7.5 - 16 Chapter Test

17 Copyright © 2011 Pearson, Inc. Slide 7.5 - 17 Chapter Test

18 Copyright © 2011 Pearson, Inc. Slide 7.5 - 18 Chapter Test

19 Copyright © 2011 Pearson, Inc. Slide 7.5 - 19 Chapter Test Solutions

20 Copyright © 2011 Pearson, Inc. Slide 7.5 - 20 Chapter Test Solutions

21 Copyright © 2011 Pearson, Inc. Slide 7.5 - 21 Chapter Test Solutions

22 Copyright © 2011 Pearson, Inc. Slide 7.5 - 22 Chapter Test Solutions

23 Copyright © 2011 Pearson, Inc. Slide 7.5 - 23 Chapter Test Solutions

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

Similar presentations

Linear Inequalities in 2 Variables

Linear Inequalities in 2 Variables
CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.

CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.
EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y  –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid.

EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y  –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid.
4.3.1 – Systems of Inequalities. Recall, we solved systems of equations What defined a system? How did you find the solutions to the system?

4.3.1 – Systems of Inequalities. Recall, we solved systems of equations What defined a system? How did you find the solutions to the system?
Kristie Ferrentino. 1. Find and graph the solution set of the inequality. 2. Determine the equation of a line that passes through the point (2,6) and.

Kristie Ferrentino. 1. Find and graph the solution set of the inequality. 2. Determine the equation of a line that passes through the point (2,6) and.
1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 8 Systems of Equations and Inequalities.

1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 8 Systems of Equations and Inequalities.
Graphs of Linear Inequalities When the equal sign in a linear equation is replaced with an inequality sign, a linear inequality is formed. Solutions of.

Graphs of Linear Inequalities When the equal sign in a linear equation is replaced with an inequality sign, a linear inequality is formed. Solutions of.
Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Systems of Linear Inequalities Solving Linear Inequalities in Two Variables.

Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Systems of Linear Inequalities Solving Linear Inequalities in Two Variables.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1 Homework, Page 604 Use substitution to solve the system of equations.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1 Homework, Page 604 Use substitution to solve the system of equations.
Slide 7- 1. Chapter 7 Systems and Matrices 7.1 Solving Systems of Two Equations.

Slide Chapter 7 Systems and Matrices 7.1 Solving Systems of Two Equations.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1.
Slide 8.4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 4 Systems of Linear Equations and Inequalities.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 4 Systems of Linear Equations and Inequalities.
Systems of Inequalities in Two Variables Sec. 7.5a.

Systems of Inequalities in Two Variables Sec. 7.5a.
Chapter 3 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Chapter 3 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.
Chapter 3 Section 4 Copyright © 2011 Pearson Education, Inc.

Chapter 3 Section 4 Copyright © 2011 Pearson Education, Inc.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1 Homework, Page 614 Write, but do not solve, the partial fraction.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1 Homework, Page 614 Write, but do not solve, the partial fraction.
Graphing Linear Inequalities in Two Variables A linear inequality in two variables takes one of the following forms: The solution of a linear inequality.

Graphing Linear Inequalities in Two Variables A linear inequality in two variables takes one of the following forms: The solution of a linear inequality.
Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 3 Linear Programming: The Graphical Method.

Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 3 Linear Programming: The Graphical Method.

Similar presentations

Ads by Google