About This Chapter
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the Alberta Education Diploma - Mathematics 30-2: Exam Prep & Study Guide course
- Problem Solving with Logic & Reasoning
- Number Systems & Factoring
- Probability & Uncertainty
- Permutations & Combinations in Probability
- Introduction to Relations & Functions
- Rational Expressions & Quadratic Equations
- Logarithmic & Exponential Operations
- Solving Problems with Polynomial Functions
- Sinusoidal Functions
- Alberta Education Diploma - Mathematics 30-2 Flashcards