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Graphing the Feasible Region of a System of Inequalities

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The feasible region of a system of inequalities is…

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1.

Consider the following system of inequalities:

A. y > x + 1

B. y < 10

C. x > 1

Which of the following is NOT in the feasible region of this system?

2. Consider the graph of three inequalities, shown below. The dots represent the area defined by each inequality. Does Point A (shown in orange) satisfy all three inequalities?

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About This Quiz & Worksheet

In this quiz and worksheet, you'll find a collection of multiple-choice questions about how to graph the feasible region of a system of inequalities. Questions require you to identify the feasible region in an example and determine whether or not a point on an example graph satisfies all three inequalities.

Quiz & Worksheet Goals

Our quiz will help you see how well you understand:

  • How to define the feasible region of a system of inequalities
  • How to identify the feasible region of an example system
  • Whether or not a point in an example satisfies all three inequalities
  • Selecting the feasible region of three inequalities in an example
  • How to graph the feasible region of a system of inequalities

Skills Practiced

  • Information recall - access the knowledge you've gained regarding how to define the feasible region of a system of inequalities
  • Reading comprehension - ensure that you draw the most important information from the related lesson about graphing the feasible region of a system of inequalities
  • Knowledge application - use your knowledge to answer questions about the feasible region of a system of inequalities and whether or not a point in an example graph satisfies three inequalities

Additional Learning

Check out our lesson called Graphing the Feasible Region of a System of Inequalities to learn more about this subject. After reviewing this lesson, you should be able to do the following:

  • Detail the process used to graph one inequality
  • Create a graph for feasible region of inequalities
  • Demonstrate how to test your graph
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