# Ch 21: Additional Topics: Unions & Intersections

### About This Chapter

## Additional Topics: Unions & Intersections - Chapter Summary

The video lessons in this chapter have been compiled to help you reinforce your understanding of mathematical unions and intersections. In doing so, professional instructors explain cardinality, Cartesian products and Venn diagrams. If at any point in this chapter you become confused about a topic, be sure to ask our instructors for clarification so that you may master the material on:

- Elements of mathematical sets
- Infinite, finite, equal and empty subsets
- Finding Cartesian products
- Structures and functions of Venn diagrams

Fortify your understanding of the material in this chapter by printing out the lesson worksheets to use as study guides and discover areas you need additional help with by taking lesson quizzes. Review related key areas in the lesson videos by re-watching main points in the videos or reading over the lesson transcripts that present the material in an alternative easy-to-read format.

### 1. Mathematical Sets: Elements, Intersections & Unions

Mathematical sets are collections of objects or concepts that can be joined together to become mathematical building blocks. Learn about mathematical sets and understand their function in mathematics. Explore the roles of elements, intersections, and unions in mathematical sets.

### 2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

Sets are a collection of objects that have a similar quality, and the number of elements of a set is referred to as the cardinality of the set. Learn about sets, the difference between infinite and finite sets, the difference between equal and equivalent sets, and how to determine the cardinality of a set.

### 3. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

Venn diagrams show the relationships and operations between a collection of elements. Learn about the concepts and operations that can be illustrated in a Venn diagram, such as subsets, disjoints, overlaps, intersections, unions, and complements.

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### Other Chapters

Other chapters within the GRE Math: 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: Sets
- Additional Topics: Graphing & Probability
- Additional Topics: Standard Deviation
- Additional Topics: Topology & Complex Variables
- Additional Topics: Trigonometry
- Additional Topics: Theorems, Analysis & Optimizing
- GRE Math Flashcards