Ch 17: Understanding Sets

About This Chapter

Feel confident that you're prepared to take and pass a test covering the basics of sets by utilizing the study resources in this self-paced chapter. Use your computer or mobile device to watch fun video lessons and take mini lesson quizzes that can enhance and assess your knowledge of the subject.

Understanding Sets - Chapter Summary

Get the comprehensive overview of sets you need with help from the short video lessons in this chapter. Expert instructors provide in-depth analyses of Venn diagrams, categorical propositions, two-way tables and other related concepts. Review the lessons at your own leisure. When finished, you will be ready to:

  • Define and discuss mathematical sets
  • Share the meaning of cardinality and list types of subsets
  • Find the Cartesian product
  • Discuss the basics of Venn diagrams
  • Describe categorical propositions
  • Change categorical propositions to standard form
  • Provide the definition of a two-way table

Select the lessons you want to study and review them in your sequence of choice to enhance your knowledge of sets in a manner that works for you. Assess your knowledge of the lessons by taking their multiple-choice quizzes. If you need to clarify details or want additional information about any lesson, feel free to send questions to our experts. Ensure you have a good grasp of all concepts covered in this chapter by taking the comprehensive practice exam.

7 Lessons in Chapter 17: Understanding 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.

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

2. 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.

How to Find the Cartesian Product

3. How to Find the Cartesian Product

The Cartesian product allows us to take two sets of mathematical objects and create one new one. With one simple idea, the Cartesian product becomes quick and easy.

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

4. 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.

Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

Watch this video lesson to learn how categorical propositions are written. You will also see what the subject and predicate are as well as learn about equivalent and infinite sets.

How to Change Categorical Propositions to Standard Form

6. How to Change Categorical Propositions to Standard Form

Watch this video lesson to learn what categorical propositions are and how you can turn your statements into one of the four standard forms. Also, learn the names of these four standard forms and what they look like.

What is a Two-Way Table?

7. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

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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