/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 97 What is a set?... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 97

What is a set?

Short Answer

Expert verified
A set is a collection of distinct objects, considered as an object in its own right. Sets are symbolized by upper-case letters, and its elements are represented in lowercase. They can be expressed in two ways: Roster (Listing) method, where all elements of the set are listed inside braces, and Set builder method, where a rule that describes the elements is stated.

Step by step solution

01

Understanding a Set

In mathematics, a set is a collection of distinct objects. These objects are referred to as elements or members of the set. A set can be symbolized by an uppercase letter and its elements represented in lowercase. It can be expressed in two ways: Roster (Listing) method, where all members are listed inside braces, and Set-builder method, where a rule that describes what is included in the set is stated.
02

Examples of a Set

An example of a set using the Roster method could be: A = {1, 2, 3, 4}. 'A' is the set that contains four elements, namely numbers 1,2,3,4. An example of a set using the Set-builder method could be: B = {x : x is a natural number less than 5}. 'B' is the set that contains natural numbers that are less than 5, therefore, the members of 'B' set are: 1, 2, 3, 4.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find this sum, indicated by a question mark. $$3(-3)=(-3)+(-3)+(-3)=?$$ \(\begin{aligned} 2(-3) &=-6 \\ 1(-3) &=-3 \\ 0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}\)

Without a calculator, you can add numbers using a number line, using absolute value, or using gains and losses. Which method do you find most helpful? Why is this so?

Evaluate both expressions for \(x=4 .\) What do you observe? $$3(x+5) ; 3 x+15$$

Explain how to simplify an algebraic expression in which a negative sign precedes parentheses.

In Exercises \(139-142\), write an algebraic expression for the given English phrase. The fraction of people in a room who are women if there are 40 women and \(x\) men in the room
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.