Graphing Linear Inequalities

9th Grade50 minutes

Learning Objective

I can graph linear inequalities on the coordinate plane and identify the solution set.

Key Concepts

When graphing inequalities, a dotted line is used for < or >, while a solid line is used for ≤ or ≥.

To determine which side of the line to shade, you can test a point like (0, 0) in the inequality; if the point makes the inequality true, shade that side.

If an inequality only has one variable (e.g., x < 2), the graph will be a vertical or horizontal line, depending on the variable.

Practice Questions

This lesson includes 9 practice questions to reinforce learning.

View questions preview

1. What is the first step in graphing a linear inequality with two variables?

2. How does the inequality symbol affect the type of line you draw on the graph?

3. What does the shading of the graph represent when graphing linear inequalities?

...and 6 more questions

Educational Video

5.6 Graphing Inequalities With Two Variables

Megan Tompkins

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