Algebra I: Linear Inequalities in Two Variables

Objectives

• Discover the basics of graphing a linear inequality, e.g., the differences among the graphs of y > ax + b, y ≥ ax + b, y < ax + b, and y ≤ ax + 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

Vocabulary

• 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.