Module 7: Solving Linear Inequalities

Student in Classroom

In earlier math courses, you used inequality symbols to describe the relationship between values that are not equal. For example, 2 < 3. You also solved linear inequalities in one variable. For example, x − 6 ≥ 1. In this module, you will build upon your knowledge of linear inequalities and learn how to:

  • apply the properties of inequality to solve multi-step linear inequalities, in one and two variables,
  • use the graphing calculator to determine solution sets of linear inequalities,
  • solve problems involving systems of inequalities, and
  • solve practical problems involving inequalities.

Getting Started

Getting started iconGetting StartedBefore you begin learning how to solve linear inequalities, take a moment to complete this non-graded interactivity. This brief non-graded interactivity will help to get you thinking about inequalities, as well as positive and negative values. Click the player button to get started.


Key Vocabulary


To view the definitions for these key vocabulary terms, visit the course glossary.


addition property of inequality
division property of inequality
inequality
multiplication property of inequality
solution
solution set
subtraction property of inequality
system of linear inequalities
transitive property of inequality