Ch 5: Understanding Mathematical Sets

About This Chapter

This entertaining chapter is filled with fun lessons you can use to strengthen your comprehension of mathematical sets. Take our mini quizzes and practice exam to ensure you understand these sets and improve your ability to earn course credit or excel on an upcoming test.

Understanding Mathematical Sets - Chapter Summary

If you are looking for a resource that can help you grasp the basics of mathematical sets, you've reached the right place. These engaging lessons offer a comprehensive overview of topics that include set notation, cardinality and how to write sets in roster form. Accompanying the lessons are multiple-choice quizzes designed to test your knowledge of the concepts they cover. If you develop questions while studying this chapter, feel free to send them to our experts. When finished, you will be able to:

  • Discuss elements, intersections and unions in mathematical sets
  • Define and share examples of set notation
  • Write sets in roster form
  • Use set builder notation to write sets
  • Calculate intersections and unions in mathematical sets
  • Detail the history and types of Venn diagrams in math
  • Exhibit knowledge of different types of sets and cardinality

7 Lessons in Chapter 5: Understanding Mathematical Sets
Test your knowledge with a 30-question chapter practice test
Mathematical Sets: Elements, Intersections & Unions

1. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

Set Notation: Definition & Examples

2. Set Notation: Definition & Examples

After completing this lesson, you will know how to write a set using words and using mathematical symbols. You will also know how to define sets and how to interpret sets that are displayed in set notation.

How to Write Sets in Roster Form

3. How to Write Sets in Roster Form

We see lists of objects all the time in the world around us. This lesson will explain how to represent a set in roster form, or as a list of elements. We will also look at some pros and cons to roster form of a set.

How to Write Sets Using Set Builder Notation

4. 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.

Calculating Unions & Intersections in Mathematical Sets

5. Calculating Unions & Intersections in Mathematical Sets

This lesson will review the set operations of unions, intersections, and differences on sets. We will explore these operations with Venn diagrams and look at some properties these operations satisfy.

What Are Venn Diagrams in Math? - History, Types & Examples

6. What Are Venn Diagrams in Math? - History, Types & Examples

In this lesson, you will learn what Venn diagrams are in math. You will also learn the history behind them and will be given the different types illustrated with examples. Following this lesson will be a brief quiz to test your knowledge.

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

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

In this video, we will add to our knowledge of sets. We will talk about cardinality, infinite, finite, equal and the empty set. I think you will find these very straightforward, so let's begin.

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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