Problem 97 - Introductory Algebra for College Students

Question

What is a set?

Step-by-Step Solution

Answer

A set is basically a collection of distinct elements. It could contain any type of objects or members, as long as each member is only counted once.

Step 1: Definition of a Set

A set is a collection of distinct elements or members. The contents of a set can be anything - numbers, people, letters of the alphabet, other sets, and so on. The only requirement is that each element is only counted once. The objects or members of a set are called its elements or members.

Step 2: Examples of a Set

Here are some examples to illustrate the concept of a set: 1. A set of all whole numbers: \(\{0, 1, 2, 3, 4, 5, 6, ...\}\)2. A set of all prime numbers: \(\{2, 3, 5, 7, 11, 13, 17, ...\}\)3. A set of all people in a class.