Ch 23: GRE Quantitative Reasoning: Inequalities

About This Chapter

Brush up on inequality concepts that are covered on the quantitative reason section of the GRE. Review and test your knowledge with fun and engaging lessons and quizzes that are easy and convenient to access.

GRE Quantitative Reasoning: Inequalities - Chapter Summary

Enhance your understanding of inequalities with our GRE review tutorials. These lectures incorporate concepts about inequalities that are essential to know for satisfactory performance on the GRE. Some areas addressed in these lessons are:

  • Absolute value inequalities
  • Linear equations
  • Graphing inequalities
  • Set notation
  • Compound inequalities
  • Systems of inequalities

In addition to instructional videos discussing various aspects of inequalities, this chapter's lessons include practice problems and correlative quizzes that let you measure how well you're comprehending the information. Lessons are allocated into brief, specific video lectures to encourage understanding of each topic and enhance your GRE performance.

GRE Quantitative Reasoning Objectives

Designed to determine a student's readiness to enter academia at the graduate level, the GRE includes a quantitative reasoning segment that accounts for more than 30% of the full examination. Our lessons on inequalities provide instruction in subjects referenced on the actual GRE. These lessons specifically cover:

  • Identifying and working with inequalities
  • Solving absolute value inequalities
  • Graphing equations in slope-intercept and standard forms
  • Indicating 1- and 2-variable inequalities on a graph
  • Using set notation
  • Working with compound inequalities
  • Understanding systems of inequalities

GRE quantitative reasoning problems encompass concepts from geometry, algebra, and arithmetic. Questions may be multiple-choice and incorporate more than one correct answer, or they may ask you to formulate a response to an open-ended problem and enter it as a numerical value.

7 Lessons in Chapter 23: GRE Quantitative Reasoning: 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 Solve and Graph an Absolute Value Inequality

2. 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

3. 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.

Linear Equations: Intercepts, Standard Form and Graphing

4. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

Graphing Inequalities: Practice Problems

5. 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 Graph 1- and 2-Variable Inequalities

6. 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

7. 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.

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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