EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter A.1, Problem 7E

To determine

Natural numbers in the given set.

Expert Solution

Answer to Problem 7E

Set of natural numbers are [5,1,2]

Explanation of Solution

Given :

Set of numbers are given;

[−9,72,5,23,2,0,1,−4,2,−11]

Natural numbers are the numbers which are countable.

Therefore, natural numbers in given set are;

[5,1,2]

To determine

Whole numbers in the given set.

Expert Solution

Answer to Problem 7E

Set of whole numbers are [5,0,1,2]

Explanation of Solution

Given :

Set of numbers are given;

[−9,72,5,23,2,0,1,−4,2,−11]

Natural numbers including 0 are known as whole numbers

Therefore, whole numbers in given set are;

[5,0,1,2]

To determine

Integers in the given set.

Expert Solution

Answer to Problem 7E

Set of integers are [−9,,5,,0,1,−4,2,−11]

Explanation of Solution

Given :

Set of numbers are given;

[−9,72,5,23,2,0,1,−4,2,−11]

Integers can be positive negative or even 0 theses are the numbers which can not be expressed in fraction.

Therefore, integers s in given set are;

[−9,,5,,0,1,−4,2,−11]

To determine

Rational number in the given set.

Expert Solution

Answer to Problem 7E

Set of rational numbers are [−9,,5,,0,1,−4,2,−11]

Explanation of Solution

Given :

Set of numbers are given;

[−9,72,5,23,2,0,1,−4,2,−11]

Rational numbers are those numbers which can be expressed in form pq where q≠0

Therefore, natural numbers in given set are;

[−9,72,5,23,,0,1,−4,2,−11]

To determine

Irrational number in the given set.

Expert Solution

Answer to Problem 7E

Set of irrational number is [2]

Explanation of Solution

Given :

Set of numbers are given;

[−9,72,5,23,2,0,1,−4,2,−11]

Irrational numbers are those numbers which can not be expressed in form pq where q≠0

Therefore, natural numbers in given set are;

[2]

Chapter A.1, Problem 6E

Chapter A.1, Problem 8E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1E Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. 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A.4 - Prob. 13E Ch. A.4 - Prob. 14E Ch. A.4 - Prob. 15E Ch. A.4 - Prob. 16E Ch. A.4 - Prob. 17E Ch. A.4 - Prob. 18E Ch. A.4 - Prob. 19E Ch. A.4 - Prob. 20E Ch. A.4 - Prob. 21E Ch. A.4 - Prob. 22E Ch. A.4 - Prob. 23E Ch. A.4 - Prob. 24E Ch. A.4 - Prob. 25E Ch. A.4 - Prob. 26E Ch. A.4 - Prob. 27E Ch. A.4 - Prob. 28E Ch. A.4 - Prob. 29E Ch. A.4 - Prob. 30E Ch. A.4 - Prob. 31E Ch. A.4 - Prob. 32E Ch. A.4 - Prob. 33E Ch. A.4 - Prob. 34E Ch. A.4 - Prob. 35E Ch. A.4 - Prob. 36E Ch. A.4 - Prob. 37E Ch. A.4 - Prob. 38E Ch. A.4 - Prob. 39E Ch. A.4 - Prob. 40E Ch. A.4 - Prob. 41E Ch. A.4 - Prob. 42E Ch. A.4 - Prob. 43E Ch. A.4 - Prob. 44E Ch. A.4 - Prob. 45E Ch. A.4 - Prob. 46E Ch. A.4 - Prob. 47E Ch. A.4 - Prob. 48E Ch. A.4 - Prob. 49E Ch. A.4 - Prob. 50E Ch. A.4 - Prob. 51E Ch. A.4 - Prob. 52E Ch. A.4 - Prob. 53E Ch. A.4 - Prob. 54E Ch. A.4 - Prob. 55E Ch. A.4 - Prob. 56E Ch. A.4 - Prob. 57E Ch. A.4 - Prob. 58E Ch. A.4 - Prob. 59E Ch. A.4 - Prob. 60E Ch. A.4 - Prob. 61E Ch. A.4 - Prob. 62E Ch. 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A.5 - Prob. 83E Ch. A.5 - Prob. 84E Ch. A.5 - Prob. 85E Ch. A.5 - Prob. 86E Ch. A.5 - Prob. 87E Ch. A.5 - Prob. 88E Ch. A.5 - Prob. 89E Ch. A.5 - Prob. 90E Ch. A.5 - Prob. 91E Ch. A.5 - Prob. 92E Ch. A.5 - Prob. 93E Ch. A.5 - Prob. 94E Ch. A.5 - Prob. 95E Ch. A.5 - Prob. 96E Ch. A.5 - Prob. 97E Ch. A.5 - Prob. 98E Ch. A.5 - Prob. 99E Ch. A.5 - Prob. 100E Ch. A.6 - Prob. 1E Ch. A.6 - Prob. 2E Ch. A.6 - Prob. 3E Ch. A.6 - Prob. 4E Ch. A.6 - Prob. 5E Ch. A.6 - Prob. 6E Ch. A.6 - Prob. 7E Ch. A.6 - Prob. 8E Ch. A.6 - Prob. 9E Ch. A.6 - Prob. 10E Ch. A.6 - Prob. 11E Ch. A.6 - Prob. 12E Ch. A.6 - Prob. 13E Ch. A.6 - Prob. 14E Ch. A.6 - Prob. 15E Ch. A.6 - Prob. 16E Ch. A.6 - Prob. 17E Ch. A.6 - Prob. 18E Ch. A.6 - Prob. 19E Ch. A.6 - Prob. 20E Ch. A.6 - Prob. 21E Ch. A.6 - Prob. 22E Ch. A.6 - Prob. 23E Ch. A.6 - Prob. 24E Ch. A.6 - Prob. 25E Ch. A.6 - Prob. 26E Ch. A.6 - Prob. 27E Ch. A.6 - Prob. 28E Ch. A.6 - Prob. 29E Ch. A.6 - Prob. 30E Ch. A.6 - Prob. 31E Ch. A.6 - Prob. 32E Ch. 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