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Linear Inequalities in Two Variables

Updated on 06/12/2015

Activity Overview

Learn the basics of graphing linear inequalities.


  • Discover the basics of graphing a linear inequality, e.g., the differences among the graphs of y > ax + b, yax + b, y < ax + b, and yax + b
  • Use a test point to check if the correct half plane is shaded
  • Sketch the graphs of linear inequalities and select a test point to verify the solution set


  • Linear inequality
  • Half plane

About the Lesson

This lesson involves the basics of graphing linear inequalities. As a result, students will:

  • Formulate the basic concepts of graphing inequalities.
  • Graph systems of inequalities.