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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.

If A is a subset of B and B is a subset of A , then A and B are equal.

To determine

Whether the statement, ‘If A is a subset of B and B is a subset of A, then A and B are equal’ is true or false.

Explanation

It is given that A is a subset of B,

AB

It means “A is contained in B”.

The above relation implies that

AB=A ……(1)

Now,

B is a subset of A,

BA

It means “B is contained in A

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