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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.

{ a , b } = { b , a , b }

To determine

Whether the statement, ‘{a,b}={b,a,b}’ is true or false.

Explanation

Consider two sets A and B such that A={a,b} and B={b,a,b}.

Now,

A={a,b} implies that,

aAbA …… (1)

And,

B={b,a,b} implies that,

bBaB …… (2

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