Ch 6: Understanding, Solving & Graphing Inequalities

About This Chapter

The content in this chapter on understanding, solving and graphing inequalities covers set notation, how to solve radical inequalities, and many other helpful topics. These short lessons offer a simple way to prepare for an exam or catch up on missed class time.

Understanding, Solving & Graphing Inequalities - Chapter Summary

The lessons in this chapter help you understand, solve and graph inequalities and absolute value inequalities. You can also review a lesson on how to graph 1-variable inequalities. There are plenty of practice problems available in each lesson. After completing the chapter, you should be prepared to:

  • Offer a clear definition for inequality
  • Provide an overview of compound inequalities
  • Explain how to solve radical inequalities
  • Discuss the process of solving quadratic inequalities
  • Graph 2-variable inequalities

Our experienced instructors use real-world examples to assist you with understanding, solving and graphing inequalities. The video lessons make learning fun and more interesting. You can study all of the lessons in the chapter or just a select few based on your specific needs. Each video lesson includes a written transcript that you can print and use to study offline.

8 Lessons in Chapter 6: Understanding, Solving & Graphing Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

How to Graph 1- and 2-Variable Inequalities

2. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Set Notation, Compound Inequalities, and Systems of Inequalities

3. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

Graphing Inequalities: Practice Problems

4. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

How to Solve and Graph an Absolute Value Inequality

5. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

Solving and Graphing Absolute Value Inequalities: Practice Problems

6. Solving and Graphing Absolute Value Inequalities: Practice Problems

Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.

Graphing & Solving Quadratic Inequalities: Examples & Process

7. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Solving Radical Inequalities

8. Solving Radical Inequalities

This lesson will show how to solve radical inequalities using radical definitions and properties. Key terms and radical notes are included to share step by step the method to solve these special types of inequalities.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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