Explanation Approach: The two sets A and B are said to be equivalent when they have same cardinal number and represents as A ~ B . A one-to-one correspondence can be constructed between the elements of equivalent pair set only. Calculation: The pair of set is as follows, C = { 3 , 6 , 9 , 12 , ... , 63 , 66 } D = { 4, 8, 12, 16, ... , 84, 88 } The set C contains all multiples of 3 up to 66. So it is calculated as, n ( C ) = 66 3 = 22 The set D contains all multiples of 4 up to 88. So it is calculated as, n ( D ) = 88 4 = 22 So, both the sets have same cardinal number and they are equivalent. Therefore, their elements shpould be put into one to one correspondence as, C = { 3 , 6 , 9 , 12 , ... , 3 n ..

8th Edition

ISBN: 9781305104174

Author: David B. Johnson, Thomas A. Mowry

Publisher: Cengage Learning

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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 2.5, Problem 5E

To determine

Whether the pair

C={3,6,9,12,...,63,66}D={4, 8, 12, 16,..., 84, 88}

is equivalent or not and if they are equivalent then list one to one correspondence.

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Chapter 2.5, Problem 4E

Chapter 2.5, Problem 6E

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Chapter 2 Solutions

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Whether the pair C = { 3 , 6 , 9 , 12 , ... , 63 , 66 } D = { 4, 8, 12, 16, ... , 84, 88 } is equivalent or not and if they are equivalent then list one to one correspondence.

Solution Summary: The author explains that the two sets A and B are equivalent when they have the same cardinal number.

Concept explainers

Whether the pair

C={3,6,9,12,...,63,66}D={4, 8, 12, 16,..., 84, 88}

is equivalent or not and if they are equivalent then list one to one correspondence.

Want to see the full answer?

Chapter 2 Solutions

Whether the pair C = { 3 , 6 , 9 , 12 , ... , 63 , 66 } D = { 4, 8, 12, 16, ... , 84, 88 } is equivalent or not and if they are equivalent then list one to one correspondence.

Solution Summary: The author explains that the two sets A and B are equivalent when they have the same cardinal number.

Concept explainers

Whether the pair C={3,6,9,12,...,63,66}D={4, 8, 12, 16,..., 84, 88} is equivalent or not and if they are equivalent then list one to one correspondence.

Want to see the full answer?

Chapter 2 Solutions

Whether the pair

C={3,6,9,12,...,63,66}D={4, 8, 12, 16,..., 84, 88}

is equivalent or not and if they are equivalent then list one to one correspondence.