About This Chapter
Additional Topics - Sets - Chapter Summary
Discover what you need to know about math sets in this Additional Topics - Sets chapter. Learn to differentiate between 1- and 2-variable inequalities and study the rules for transforming single inequalities into compound inequalities. When you watch this chapter's online video lessons, you'll learn how to define and identify a complement of a set and use a Venn diagram. The lessons will teach you how to use alternate notation for a universal set. Through the videos in this chapter, you can also learn how to:
- Describe the use of commutativity, associativity or a double negative
- Explain the use of universal sets, complements and subsets
- Recognize a universal set in math
- Illustrate the complement of a set
- Define sample spaces
- Express compound inequalities with set notation and interval notation
The Additional Topics - Sets chapter consists of short video lessons that were created to present educational information in a fun and entertaining manner. The lessons are taught by experienced instructors. You can either submit your questions to instructors, or you can use the handy video tags located in the timeline to go back and re-watch any part of the video.
Another option is to review the corresponding transcripts to clarify any of the material. Once you have finished the lessons, take the self-assessment quizzes to measure your progress. You can also take the chapter examination for this purpose.
1. How to Write Sets Using Set Builder Notation
Set builder notation allows the user to indicate specific items that are to be included within a set. In this lesson, we will learn how to write sets using set builder notation.
2. Universal Set in Math: Definition, Example & Symbol
After completing this lesson, you will be able to define universal set and write examples of universal sets. You will also be able to utilize universal sets to create subsets of universal sets.
3. Complement of a Set in Math: Definition & Examples
After completing this lesson, you will be able to define 'complement of a set' using words and using set notation. In addition, you will be able to identify a complement of a set relative to the set's respective universal set.
4. Events as Subsets of a Sample Space: Definition & Example
Probability can get very confusing at times. You will find that some words, such as events and subsets, are often referring to the same concept depending on the experiment. Use this lesson to understand the concept of events as subsets.
5. 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.
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Other chapters within the GRE Math Subject Test Study Guide & Test Prep course
- Functions in Precalculus
- Analytical Geometry in Precalculus
- Polynomial Equations in Precalculus
- Logarithms & Trigonometry
- Limits of Sequences & Functions
- Calculating Derivatives
- Curve Sketching in Precalculus
- Differentiable Functions & Min-Max Problems
- Indefinite Integrals in Calculus
- Definite Integrals in Calculus
- Additional Topics in Calculus
- L'Hopital's Rule, Integrals & Series in Calculus
- Analytic Geometry in 3-Dimensions
- Partial Derivatives
- Calculus: Min/Max & Integrals
- Algebra: Differential Equations
- Algebra: Matrices & Vectors
- Algebra: Determinants & Transformations
- Algebra: Number Theory & Abstract Algebra
- Additional Topics: Unions & Intersections
- Additional Topics: Graphing & Probability
- Additional Topics: Standard Deviation
- Additional Topics: Topology & Complex Variables
- Additional Topics: Trigonometry
- Additional Topics: Theorems, Analysis & Optimizing