Ch 49: PLACE Mathematics: Set Theory

About This Chapter

Our instructors can show you the key elements of set theory that you need to know for the PLACE Mathematics exam. Our video lessons and self-assessment quizzes allow you to review the material and measure your retention as prepare for the test.

PLACE Mathematics: Set Theory - Chapter Summary

Review the lessons in this chapter to help you recollect set theory before taking the PLACE Mathematics exam. Our videos cover the following topics to help you refresh your memory for the exam:

  • Mathematical sets
  • Cardinality and types of subsets
  • Venn diagrams
  • Categorical propositions
  • Two-way tables

Our instructors guide you through each element of set theory, showing you how to use them effectively in preparation for the test. The videos, text lessons and quizzes allow you to review the material in multiple ways, enhancing your comprehension of the important points.

Objectives of the PLACE Mathematics: Set Theory Chapter

The PLACE Mathematics test evaluates your knowledge and comprehension of foundations of mathematics, functions and relations, measurement and geometry, probability and statistics and calculus and discrete mathematics. The topics in this Set Theory chapter are part of the Foundations of Mathematics portion of the exam, which makes up 19% of the test questions. Our self-assessment quizzes allow you to check your comprehension of this topic and also give you an idea of the types of questions to expect on the actual exam.

All of the questions on the exam are multiple-choice. You will read a question or problem and be given several possible answers. From those, you must pick the correct option.

5 Lessons in Chapter 49: PLACE Mathematics: Set Theory
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.

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

3. 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

4. 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.

What is a Two-Way Table?

5. 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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Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

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