Skip to ContentGo to accessibility page
Algebra 1

2.10.8 Lesson Summary

Algebra 12.10.8 Lesson Summary

2.10.8 Lesson Summary

2.10.8 • Lesson Summary

In this lesson, you learned how to:

  • Analyze the structure of an inequality in one variable to help determine if the solution is greater or less than the solution to the related equation.
  • Write and solve inequalities to answer questions about a situation.

Here are the activities that helped you reach those goals:

  • 2.10.1: Writing an Inequality to Represent a Constraint
    • In this activity, you practiced writing an inequality to represent a constraint, reasoning about its solutions, and interpreting the solutions.
  • 2.10.2: Using Inequalities to Solve a Problem
    • In this activity, you used inequalities to solve a problem about a situation whose constraints might be unfamiliar and in which multiple quantities are unknown.
    • 2.10.2: Self Check
    • 2.10.2: Additional Resources
  • 2.10.3: Different Ways of Solving an Inequality
    • In this activity, you explored some ways to decide whether the solution set to an inequality is greater than or less than a particular boundary value (identified by solving a related equation).
    • 2.10.3: Self Check
    • 2.10.3: Additional Resources
  • 2.10.4: Matching Inequalities and Solutions
    • In this activity, you received additional practice in reasoning about the solutions to inequalities without any context.
  • 2.10.5: Solving Inequalities
    • In this activity, you used the Addition and Subtraction Properties of Inequality to solve different inequalities. You also used the Multiplication and Division Properties of Inequality to solve inequalities. You learned that when using the Multiplication and Division Properties of Inequality, you must reverse the symbol when you multiply or divide by a negative number.
    • 2.10.5: Self Check
    • 2.10.5: Additional Resources
  • 2.10.6: Writing Inequalities to Represent a Situation
    • In this activity, you wrote inequalities to represent a situation.

After these activities, you completed the following practice:

  • 2.10.7: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

Citation/Attribution
Reuse and redistribution of this content in digital or print format:
  • This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's prior written permission.
  • This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License, which means that you can reuse and modify the material only for noncommercial purposes, must attribute OpenStax, and must distribute any derivative works under the same license.
  • Any commercial printing of this textbook, including using a local or custom printer, must be approved by OpenStax, and proper citation provided.
  • OpenStax-copyrighted images, activities, assessments, and similar components of this book are subject to the same licensing – CC-BY-NC-SA. They can be used for noncommercial purposes with attribution. Commercial use requires permission.
  • Permission requests: Anyone who intends to incorporate this content (including text, images, and other components) into large language models, use it in AI offerings, use it commercially (including in print), and/or has questions about another use case is welcome to complete our reuse request form.
Attribution information
  • If you are redistributing all or part of this book in a noncommercial print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a noncommercial digital format, then for every page that includes OpenStax content, you must license the derivative work under the same CC-BY-NC-SA license as the original, and include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

The information below includes the information needed to generate citations in most major styles (APA, MLA, etc.); you must reformat and organize the information as needed to fit the requirements of the style. Use the information below to generate a citation. We recommend using a citation tool such as this one.

© Apr 23, 2026 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo, and Rice University name, and Rice University logo trademarks, or wordmarks are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.