Ch 3: Set Theory & Venn Diagrams

About This Chapter

Boost your confidence in the basics of set theory ahead of a test or exam by reviewing this engaging chapter. You can watch these short video lessons and then take the multiple-choice quizzes to ensure you're prepared for test day.

Set Theory & Venn Diagrams - Chapter Summary

These informative lessons show you about defining and interpreting sets in set notation and the best way to write union sets and use them in everyday life. Additional topics include the history of the Venn diagram and its varied applications across many fields. You'll also be able to identify disjunction and conjunction when looking at a Venn diagram. After reviewing this chapter, you will be able to:

  • Give examples of universal sets
  • Define universal set and complement of a set
  • Write empty set symbols

Review this entire chapter as a helpful test prep exercise, or watch the video lessons that correspond to the subjects you need to review. If you'd like to skip to just one portion of a video, you can use the video tabs feature in the Timeline to do so. Our study materials are accessible on your mobile phone, computer or tablet any time, 24 hours a day. Or, if you prefer to study offline, our printable transcripts highlight the essential keywords and topics you'll want to focus on.

7 Lessons in Chapter 3: Set Theory & Venn Diagrams
Test your knowledge with a 30-question chapter practice test
Set Notation: Definition & Examples

1. 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.

Union of Sets in Math: Definition, Terms & Symbol

2. Union of Sets in Math: Definition, Terms & Symbol

In this lesson, learn about how you use sets and their unions in everyday life. Learn how to appropriately write them so that you can communicate with others about sets. Also, learn how easy they are to use.

Universal Set in Math: Definition, Example & Symbol

3. 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.

Complement of a Set in Math: Definition & Examples

4. 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.

The Empty Set in Math: Definition & Symbol

5. The Empty Set in Math: Definition & Symbol

After viewing this lesson, you should know how to apply the empty set within mathematics topics. You should also know how to explain the empty set in words and to write the empty set in symbols.

Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

6. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.

Using Venn Diagrams to Show Conjunctions & Disjunctions

7. Using Venn Diagrams to Show Conjunctions & Disjunctions

Watch this video lesson to learn how you can use a Venn diagram to show conjunctions and disjunctions. You will see what a conjunction looks like and what a disjunction looks like in a Venn diagram.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 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.

Support