State whether each of the given pairs of sets are equal, equivalent, both or neither.

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Chapter 2.1, Problem 66ES

Chapter 2.1, Problem 68ES

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Chapter 2 Solutions

Mathematical Excursions (Looseleaf)

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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