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Simple Inequalities on a Number Line

Published on 12/01/2011

Activity Overview

Observe the differences in the graphs when <, ≤, =, >, and ≥ are used.

Objectives

  • Students will graph the solution to simple inequalities in one variable and describe the solution using correct vocabulary and symbols.
  • Students will use appropriate tools strategically (CCSS Mathematical Practices).
  • Students will look for and express regularity in repeated reasoning (CCSS Mathematical Practices).

Vocabulary

  • Boundary point
  • Open (non-inclusive) intervals
  • Closed (inclusive) intervals

About the Lesson

This lesson involves observing the differences in the graphs when <, ≤, =, >, and ≥ are used. Students will make conjectures as to when to shade to the left, right, or not at all, as well as to whether the boundary point is shaded (included). As a result, students will:

  • Understand how to graph the solution to an inequality in one variable on the number line.
  • Describe the solution of a linear inequality in one variable, given the graph, using correct vocabulary and symbols.