About This Chapter
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.
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!
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!
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.
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.
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.
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!
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.
Earning College Credit
Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the GRE Test: Practice & Study Guide course
- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Numbers and Operations
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Functions
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Plane Geometry
- GRE Quantitative Reasoning: Coordinate Geometry
- GRE Quantitative Reasoning: Probability and Statistics
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards