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Chapter 1: Problem 97

What is a set?

Short Answer

Expert verified
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 by step solution

01

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.
02

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.

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Most popular questions from this chapter

Find the value of each expression. $$\frac{5}{8}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Perform the indicated subtraction. $$23-23$$

Perform the indicated subtraction. $$-29-21$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The difference between 0 and a negative number is always a positive number.

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)
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