Chapter 19

Set Theory

Set theory is, not surprisingly, the study of sets — that is, collections of things. Every member of a set is called an element of that set; for example, the set {1, 4, 5} has three elements. In this chapter, you solve problems that strengthen your skills in basic set theory.

The Problems You’ll Work On

The problems in this chapter focus on the following skills:

Performing the operations of union, intersection, and relative complement on sets

Working with sets of numbers such as even and odd numbers, positive and negative numbers, and so forth

Finding the complement of a set using the set of integers as the universal set

Solving problems using Venn diagrams

What to Watch Out For

Here is a list of the basic operations and other concepts you’ll need to solve the problems in this chapter:

The union () of two sets includes every element that’s in either set.

The ...