# Solving One-Step Inequalities

This lesson will help students understand how to solve one-step addition, subtraction, multiplication, and division inequalities using inverse operations, as well as how to graph inequalities on a number line.
##### View aligned standards

Help students understand how to solve one-step addition, subtraction, multiplication, and division inequalities with this seventh-grade lesson plan. Students will learn how to use inverse operations to solve one-step inequalities, while learning some key differences to be aware of when solving multiplication and division inequalities. Students will also gain practice graphing solution sets for inequalities on number lines.

#### Learning Objectives

• Students will be able to solve one-step inequalities that involve addition, subtraction, multiplication, and division.
• Students will also be able to graph solution sets for one-step inequalities and interpret solutions within the context of a problem.

#### Introduction

(5 minutes)
• Prior to teaching this lesson, make sure that students have practiced solving one-step equations, graphing inequalities on number lines, and operating with positive and negative rational numbers.
• Write the following one-step equations on the whiteboard:
• x + 12 = −4
• y − 8 = 9
• −6m = 72
• b ÷ 4 = −5
• Ask students to solve the one-step equations using inverse operations.
• Ask four students to come up to the board and show how they solved the one-step equations. Make sure students show how to use inverse operations to solve.