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, A = { 1 , 3 , 5 , ... , 121 , 123 } B = { 125, 127, 129, ... , 245, 247 } The set A contains odd number from 1 to 123. So it is calculated as, n ( A ) = 122 2 + 1 = 62 The set B contains all odd numbers from 125 to 247. So it is calculated as, n ( B ) = ( 246 2 + 1 ) − ( 124 2 ) = 124 − 62 = 62 So, the sets have same cardinal numbers and hence are equivalent. Therefore, their elements can be put into one to one correspondence. A = { 1 , 3 , 5 , ... , 2 n − 1 ..

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Author: Johnson

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Chapter 2.5, Problem 9E

To determine

Whether the pair

A={1,3,5,...,121,123}B={125, 127, 129,..., 245, 247}

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

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Chapter 2.5, Problem 8E

Chapter 2.5, Problem 10E

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Chapter 2 Solutions

MATHEMATICS A PRACT ODYSSEY -WEBASSIGN

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 A = { 1 , 3 , 5 , ... , 121 , 123 } B = { 125, 127, 129, ... , 245, 247 } 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.

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Whether the pair

A={1,3,5,...,121,123}B={125, 127, 129,..., 245, 247}

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 A = { 1 , 3 , 5 , ... , 121 , 123 } B = { 125, 127, 129, ... , 245, 247 } 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.

Videos

Whether the pair A={1,3,5,...,121,123}B={125, 127, 129,..., 245, 247} 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

A={1,3,5,...,121,123}B={125, 127, 129,..., 245, 247}

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