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, E = { 2 , 4 , 6 , 8 , ... , 498 , 500 } F = { 3, 6, 7, 12, ... , 750, 753 } The set E contains all multiples of 2 up to 500. So it is calculated as, n ( E ) = 500 2 = 250 The set F contains all multiples of 3 up to 753. So it is calculated as,

8th Edition

ISBN: 9781305104174

Author: David B. Johnson, Thomas A. Mowry

Publisher: Cengage Learning

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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 2.5, Problem 8E

To determine

Whether the pair

E={2,4,6,8,...,498,500}F={3, 6, 7, 12,..., 750, 753}

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

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Chapter 2.5, Problem 7E

Chapter 2.5, Problem 9E

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Chapter 2 Solutions

Mathematics: A Practical Odyssey

Ch. 2.1 - Prob. 1E Ch. 2.1 - Suppose A={2,5,7,9,13,25,26}. a. Find n(A) b. True...Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Whether the pair E = { 2 , 4 , 6 , 8 , ... , 498 , 500 } F = { 3, 6, 7, 12, ... , 750, 753 } 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

E={2,4,6,8,...,498,500}F={3, 6, 7, 12,..., 750, 753}

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 E = { 2 , 4 , 6 , 8 , ... , 498 , 500 } F = { 3, 6, 7, 12, ... , 750, 753 } 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 E={2,4,6,8,...,498,500}F={3, 6, 7, 12,..., 750, 753} 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

E={2,4,6,8,...,498,500}F={3, 6, 7, 12,..., 750, 753}

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