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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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True or False

Label each of the following statements as either true or false.

Two sets are equal if and only if they contain exactly the same elements.

To determine

Whether the statement, ‘Two sets are equal if and only if they contain exactly the same elements’ is true or false.

Explanation

Let A and B be two sets containing exactly the same elements.

Since A contains exactly the same elements as B,

Therefore, AB ……(1)

And,

Since B contains exactly the same elements as A,

Therefore,

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