Explanation Given Information: Set A contains 47 elements and set B contains 25 elements. Concept used: ∩ : Intersection of sets ∪ : Union of sets Calculation: < To determine (b) The maximum possible number of elements in A ∪ B . To determine (c) The maximum possible number of elements in A ∩ B . To determine (d) The maximum possible number of elements in A ∩ B .

Mathematical Excursions - With WebAssign

4th Edition

ISBN: 9781337605069

Author: Aufmann

Publisher: Cengage

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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 2.4, Problem 29ES

To determine

(a)

The maximum possible number of elements in A∪B.

To determine

(b)

The maximum possible number of elements in A∪B.

To determine

(c)

The maximum possible number of elements in A∩B.

To determine

(d)

The maximum possible number of elements in A∩B.

Expert Solution & Answer

Chapter 2 Solutions

Mathematical Excursions - With WebAssign

Ch. 2.1 - Mark, Erica, Larry, and Jennifer have each defined...Ch. 2.1 - In some fuzzy sets, membership values are given by...Ch. 2.1 - The following membership graph provides a...Ch. 2.1 - The membership graphs in the following figure...Ch. 2.1 - The membership graph in Excursion Exercise 2 shows...Ch. 2.1 - Prob. 1ES Ch. 2.1 - Prob. 2ES Ch. 2.1 - Prob. 3ES Ch. 2.1 - Prob. 4ES Ch. 2.1 - Prob. 5ES

Ch. 2.1 - Prob. 6ES Ch. 2.1 - Prob. 7ES Ch. 2.1 - Prob. 8ES Ch. 2.1 - Prob. 9ES Ch. 2.1 - Prob. 10ES Ch. 2.1 - Prob. 11ES Ch. 2.1 - Prob. 12ES Ch. 2.1 - In Exercises I to 14, use the roster method to...Ch. 2.1 - Prob. 14ES Ch. 2.1 - Prob. 15ES Ch. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - Prob. 19ES Ch. 2.1 - Prob. 20ES Ch. 2.1 - Prob. 21ES Ch. 2.1 - Prob. 22ES Ch. 2.1 - Prob. 23ES Ch. 2.1 - Prob. 24ES Ch. 2.1 - In Exercises 25 to 36, determine whether each...Ch. 2.1 - Prob. 26ES Ch. 2.1 - Prob. 27ES Ch. 2.1 - Prob. 28ES Ch. 2.1 - Prob. 29ES Ch. 2.1 - In Exercises 25 to 36, determine whether each...Ch. 2.1 - Prob. 31ES Ch. 2.1 - Prob. 32ES Ch. 2.1 - Prob. 33ES Ch. 2.1 - Prob. 34ES Ch. 2.1 - Prob. 35ES Ch. 2.1 - Prob. 36ES Ch. 2.1 - Prob. 37ES Ch. 2.1 - Prob. 38ES Ch. 2.1 - Prob. 39ES Ch. 2.1 - Prob. 40ES Ch. 2.1 - In Exercises 37 to 48, use set-builder notation to...Ch. 2.1 - Prob. 42ES Ch. 2.1 - Prob. 43ES Ch. 2.1 - Prob. 44ES Ch. 2.1 - Prob. 45ES Ch. 2.1 - Prob. 46ES Ch. 2.1 - Prob. 47ES Ch. 2.1 - Prob. 48ES Ch. 2.1 - Prob. 49ES Ch. 2.1 - Prob. 50ES Ch. 2.1 - Prob. 51ES Ch. 2.1 - Prob. 52ES Ch. 2.1 - Prob. 53ES Ch. 2.1 - Prob. 54ES Ch. 2.1 - Prob. 55ES Ch. 2.1 - Prob. 56ES Ch. 2.1 - Prob. 57ES Ch. 2.1 - Prob. 58ES Ch. 2.1 - Prob. 59ES Ch. 2.1 - Prob. 60ES Ch. 2.1 - Prob. 61ES Ch. 2.1 - Prob. 62ES Ch. 2.1 - Prob. 63ES Ch. 2.1 - In Exercises 63 to 70, state whether each of the...Ch. 2.1 - In Exercises 63 to 70, state whether each of the...Ch. 2.1 - Prob. 66ES Ch. 2.1 - Prob. 67ES Ch. 2.1 - Prob. 68ES Ch. 2.1 - Prob. 69ES Ch. 2.1 - Prob. 70ES Ch. 2.1 - Prob. 71ES Ch. 2.1 - Prob. 72ES Ch. 2.1 - Prob. 73ES Ch. 2.1 - Prob. 74ES Ch. 2.1 - Prob. 75ES Ch. 2.1 - Prob. 76ES Ch. 2.1 - Prob. 77ES Ch. 2.1 - Prob. 78ES Ch. 2.1 - Prob. 79ES Ch. 2.1 - Prob. 80ES Ch. 2.1 - Prob. 81ES Ch. 2.1 - Prob. 82ES Ch. 2.1 - In Exercises 83 to 86, use the extension of...Ch. 2.1 - Prob. 84ES Ch. 2.1 - Prob. 85ES Ch. 2.1 - Prob. 86ES Ch. 2.1 - Prob. 87ES Ch. 2.1 - Prob. 88ES Ch. 2.1 - Prob. 89ES Ch. 2.1 - Prob. 90ES Ch. 2.2 - Let K = {(1, 0.4), (2, 0.6), (3,0.8), (4, 1)) and...Ch. 2.2 - Prob. 2EE Ch. 2.2 - Prob. 3EE Ch. 2.2 - Prob. 4EE Ch. 2.2 - Prob. 5EE Ch. 2.2 - Prob. 1ES Ch. 2.2 - Prob. 2ES Ch. 2.2 - Prob. 3ES Ch. 2.2 - Prob. 4ES Ch. 2.2 - Prob. 5ES Ch. 2.2 - Prob. 6ES Ch. 2.2 - Prob. 7ES Ch. 2.2 - Prob. 8ES Ch. 2.2 - Prob. 9ES Ch. 2.2 - Prob. 10ES Ch. 2.2 - Prob. 11ES Ch. 2.2 - Prob. 12ES Ch. 2.2 - Prob. 13ES Ch. 2.2 - Prob. 14ES Ch. 2.2 - Prob. 15ES Ch. 2.2 - Prob. 16ES Ch. 2.2 - Prob. 17ES Ch. 2.2 - Prob. 18ES Ch. 2.2 - Prob. 19ES Ch. 2.2 - Prob. 20ES Ch. 2.2 - Prob. 21ES Ch. 2.2 - Prob. 22ES Ch. 2.2 - Prob. 23ES Ch. 2.2 - Prob. 24ES Ch. 2.2 - Prob. 25ES Ch. 2.2 - Prob. 26ES Ch. 2.2 - Prob. 27ES Ch. 2.2 - Prob. 28ES Ch. 2.2 - Prob. 29ES Ch. 2.2 - Prob. 30ES Ch. 2.2 - Prob. 31ES Ch. 2.2 - Prob. 32ES Ch. 2.2 - Prob. 33ES Ch. 2.2 - Prob. 34ES Ch. 2.2 - Prob. 35ES Ch. 2.2 - Prob. 36ES Ch. 2.2 - Prob. 37ES Ch. 2.2 - Prob. 38ES Ch. 2.2 - Prob. 39ES Ch. 2.2 - Prob. 40ES Ch. 2.2 - Prob. 41ES Ch. 2.2 - Prob. 42ES Ch. 2.2 - Prob. 43ES Ch. 2.2 - Prob. 44ES Ch. 2.2 - Prob. 45ES Ch. 2.2 - Prob. 46ES Ch. 2.2 - Prob. 47ES Ch. 2.2 - Prob. 48ES Ch. 2.2 - Prob. 49ES Ch. 2.2 - Prob. 50ES Ch. 2.2 - Prob. 51ES Ch. 2.2 - In Exercises 47 to 54, find the number of subsets...Ch. 2.2 - Prob. 53ES Ch. 2.2 - Prob. 54ES Ch. 2.2 - Suppose you have a nickel, two dimes, and a...Ch. 2.2 - Prob. 56ES Ch. 2.2 - Sandwich Choices A delicatessen makes a...Ch. 2.2 - Upgrade Options A company that builds homes...Ch. 2.2 - Omelet Choices A restaurant provides a brunch...Ch. 2.2 - Truck Options A truck company makes a pickup truck...Ch. 2.2 - Prob. 61ES Ch. 2.2 - Prob. 62ES Ch. 2.2 - Voting Coalitions Five people, designated A, B, C,...Ch. 2.2 - Prob. 64ES Ch. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - Prob. 3EE Ch. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - Prob. 5EE Ch. 2.3 - Prob. 6EE Ch. 2.3 - Prob. 7EE Ch. 2.3 - Prob. 1ES Ch. 2.3 - Prob. 2ES Ch. 2.3 - Prob. 3ES Ch. 2.3 - Prob. 4ES Ch. 2.3 - Prob. 5ES Ch. 2.3 - Prob. 6ES Ch. 2.3 - Prob. 7ES Ch. 2.3 - Prob. 8ES Ch. 2.3 - Prob. 9ES Ch. 2.3 - Prob. 10ES Ch. 2.3 - Prob. 11ES Ch. 2.3 - Prob. 12ES Ch. 2.3 - Prob. 13ES Ch. 2.3 - Prob. 14ES Ch. 2.3 - Prob. 15ES Ch. 2.3 - Prob. 16ES Ch. 2.3 - Prob. 17ES Ch. 2.3 - Prob. 18ES Ch. 2.3 - Prob. 19ES Ch. 2.3 - Prob. 20ES Ch. 2.3 - Prob. 21ES Ch. 2.3 - Prob. 22ES Ch. 2.3 - Prob. 23ES Ch. 2.3 - Prob. 24ES Ch. 2.3 - In Exercises 21 to 28, write a sentence that...Ch. 2.3 - Prob. 26ES Ch. 2.3 - Prob. 27ES Ch. 2.3 - Prob. 28ES Ch. 2.3 - Prob. 29ES Ch. 2.3 - Prob. 30ES Ch. 2.3 - Prob. 31ES Ch. 2.3 - Prob. 32ES Ch. 2.3 - Prob. 33ES Ch. 2.3 - Prob. 34ES Ch. 2.3 - Prob. 35ES Ch. 2.3 - Prob. 36ES Ch. 2.3 - Prob. 37ES Ch. 2.3 - Prob. 38ES Ch. 2.3 - Prob. 39ES Ch. 2.3 - Prob. 40ES Ch. 2.3 - Prob. 41ES Ch. 2.3 - Prob. 42ES Ch. 2.3 - Prob. 43ES Ch. 2.3 - Prob. 44ES Ch. 2.3 - Prob. 45ES Ch. 2.3 - Prob. 46ES Ch. 2.3 - Prob. 47ES Ch. 2.3 - Prob. 48ES Ch. 2.3 - Prob. 49ES Ch. 2.3 - Subtractive Color Mixing Artists who paint with...Ch. 2.3 - Prob. 51ES Ch. 2.3 - Subtractive Color Mixing Artists who paint with...Ch. 2.3 - Prob. 53ES Ch. 2.3 - Prob. 54ES Ch. 2.3 - Prob. 55ES Ch. 2.3 - Prob. 56ES Ch. 2.3 - Prob. 57ES Ch. 2.3 - Prob. 58ES Ch. 2.3 - Prob. 59ES Ch. 2.3 - Prob. 60ES Ch. 2.3 - Prob. 61ES Ch. 2.3 - Prob. 62ES Ch. 2.3 - A Survey Aspecial interest group plans to conduct...Ch. 2.3 - A Music Survey Theadministrators of an Internet...Ch. 2.3 - Prob. 65ES Ch. 2.3 - Prob. 66ES Ch. 2.3 - Prob. 67ES Ch. 2.3 - Prob. 68ES Ch. 2.3 - Prob. 69ES Ch. 2.3 - Prob. 70ES Ch. 2.3 - Prob. 71ES Ch. 2.3 - Prob. 72ES Ch. 2.3 - Prob. 73ES Ch. 2.3 - Prob. 74ES Ch. 2.3 - Prob. 75ES Ch. 2.3 - Prob. 76ES Ch. 2.3 - Prob. 77ES Ch. 2.3 - Prob. 78ES Ch. 2.3 - Prob. 79ES Ch. 2.3 - In an article in New Scientist magazine, Anthony...Ch. 2.4 - A selection committee consists of Ryan, Susan. and...Ch. 2.4 - A selection committee consists of three people...Ch. 2.4 - Determine the minimal winning coalitions for the...Ch. 2.4 - Prob. 1ES Ch. 2.4 - Prob. 2ES Ch. 2.4 - In Exercises I to 10, let U = English, French,...Ch. 2.4 - Prob. 4ES Ch. 2.4 - Prob. 5ES Ch. 2.4 - Prob. 6ES Ch. 2.4 - In Exercises I to 10, let U = English, French,...Ch. 2.4 - Prob. 8ES Ch. 2.4 - Prob. 9ES Ch. 2.4 - Prob. 10ES Ch. 2.4 - Prob. 11ES Ch. 2.4 - Prob. 12ES Ch. 2.4 - Prob. 13ES Ch. 2.4 - Prob. 14ES Ch. 2.4 - Prob. 15ES Ch. 2.4 - Given n(A) = 640, n(B) = 280, and n(A U B) = 765,...Ch. 2.4 - Prob. 17ES Ch. 2.4 - In Exercises 17 and 18, use the given information...Ch. 2.4 - In a surveyof 600 investors, it was reported that...Ch. 2.4 - Commuting A survey of 1500 commuters in New York...Ch. 2.4 - A team physician has determined that of all the...Ch. 2.4 - The management of a hotel conducted a survey. ft...Ch. 2.4 - A computer company advertises its computers in PC...Ch. 2.4 - During one month, a blood donation center found...Ch. 2.4 - A special interest group has conducted a survey...Ch. 2.4 - A survey of college students was taken to...Ch. 2.4 - A survey was completed by individuals who were...Ch. 2.4 - Prob. 28ES Ch. 2.4 - Prob. 29ES Ch. 2.4 - Prob. 30ES Ch. 2.4 - Prob. 31ES Ch. 2.4 - Prob. 32ES Ch. 2.5 - Use two disjoint sets to show that 0+2=0.Ch. 2.5 - Prob. 2EE Ch. 2.5 - Use sets toshow that 06=0.Ch. 2.5 - Prob. 1ES Ch. 2.5 - Establish a one-to-one correspondence between the...Ch. 2.5 - Establish a one-to-one correspondence between D =...Ch. 2.5 - Prob. 4ES Ch. 2.5 - Prob. 5ES Ch. 2.5 - In Exercises 4 to 10, state the cardinality of...Ch. 2.5 - Prob. 7ES Ch. 2.5 - Prob. 8ES Ch. 2.5 - Prob. 9ES Ch. 2.5 - Prob. 10ES Ch. 2.5 - Prob. 11ES Ch. 2.5 - In Exercises 11 to 14, determine whether the given...Ch. 2.5 - Prob. 13ES Ch. 2.5 - Prob. 14ES Ch. 2.5 - Prob. 15ES Ch. 2.5 - In Exercises 15 to 18, show that the given set is...Ch. 2.5 - Prob. 17ES Ch. 2.5 - Prob. 18ES Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 20ES Ch. 2.5 - Prob. 21ES Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 23ES Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 27ES Ch. 2.5 - Prob. 28ES Ch. 2.5 - Prob. 29ES Ch. 2.5 - The Hubert Hotel is an imaginary hotel created by...Ch. 2 - Prob. 1RE Ch. 2 - In Exercises 1 to 6, use the roster method to...Ch. 2 - Prob. 3RE Ch. 2 - Prob. 4RE Ch. 2 - Prob. 5RE Ch. 2 - Prob. 6RE Ch. 2 - Prob. 7RE Ch. 2 - Prob. 8RE Ch. 2 - Prob. 9RE Ch. 2 - Prob. 10RE Ch. 2 - Prob. 11RE Ch. 2 - Prob. 12RE Ch. 2 - Prob. 13RE Ch. 2 - Prob. 14RE Ch. 2 - Prob. 15RE Ch. 2 - Prob. 16RE Ch. 2 - Prob. 17RE Ch. 2 - Prob. 18RE Ch. 2 - Prob. 19RE Ch. 2 - Prob. 20RE Ch. 2 - Prob. 21RE Ch. 2 - Prob. 22RE Ch. 2 - Prob. 23RE Ch. 2 - Prob. 24RE Ch. 2 - Prob. 25RE Ch. 2 - Prob. 26RE Ch. 2 - Prob. 27RE Ch. 2 - Prob. 28RE Ch. 2 - Prob. 29RE Ch. 2 - Prob. 30RE Ch. 2 - Prob. 31RE Ch. 2 - Prob. 32RE Ch. 2 - Prob. 33RE Ch. 2 - Prob. 34RE Ch. 2 - Prob. 35RE Ch. 2 - Prob. 36RE Ch. 2 - In Exercises 35 to 38, find the number of subsets...Ch. 2 - Prob. 38RE Ch. 2 - Prob. 39RE Ch. 2 - Prob. 40RE Ch. 2 - Prob. 41RE Ch. 2 - Prob. 42RE Ch. 2 - Prob. 43RE Ch. 2 - Prob. 44RE Ch. 2 - Prob. 45RE Ch. 2 - Prob. 46RE Ch. 2 - Prob. 47RE Ch. 2 - Prob. 48RE Ch. 2 - Prob. 49RE Ch. 2 - Prob. 50RE Ch. 2 - Prob. 51RE Ch. 2 - Prob. 52RE Ch. 2 - In a survey at a health club, 208 members...Ch. 2 - A gourmet coffee bar conducted a survey to...Ch. 2 - Prob. 55RE Ch. 2 - Prob. 56RE Ch. 2 - Prob. 57RE Ch. 2 - Prob. 58RE Ch. 2 - Prob. 59RE Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Prob. 67RE Ch. 2 - Prob. 68RE Ch. 2 - Prob. 69RE Ch. 2 - Prob. 70RE Ch. 2 - Prob. 71RE Ch. 2 - Prob. 72RE Ch. 2 - Prob. 1T Ch. 2 - Prob. 2T Ch. 2 - Prob. 3T Ch. 2 - Prob. 4T Ch. 2 - Prob. 5T Ch. 2 - Prob. 6T Ch. 2 - Prob. 7T Ch. 2 - Prob. 8T Ch. 2 - Prob. 9T Ch. 2 - Prob. 10T Ch. 2 - Prob. 11T Ch. 2 - Prob. 12T Ch. 2 - Prob. 13T Ch. 2 - Prob. 14T Ch. 2 - Upgrade Options An automobile company makes a...Ch. 2 - Student Demographics A college finds that 841 of...Ch. 2 - The following bar graph shows the monthly...Ch. 2 - A survey of 1000 households was taken to determine...Ch. 2 - Show a method that can be used to establish a...Ch. 2 - Prob. 20T

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