Graphing Linear Inequalities

9th GradeMath50 min

Learning Objective

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

Lesson Flow

Watch Video

13 min

5.6 Graphing Inequalities With Two Variables

Megan Tompkins

Guided Notes

10 min

Key concepts students will learn:

  • 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

15 min

9 questions • Multiple choice & Short answer

Exit Ticket

5 min

Graph the inequality y ≤ -2x + 1 on the coordinate plane. Indicate clearly whether the boundary line is solid or dashed and shade the region that represents the solution set.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts