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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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In Exercises 14 35 , prove each statement.

( A ) = A

To determine

To prove: The statement (A)=A.

Explanation

Formula Used:

Complement of a set A is defined as,

A={xU|xA} where A is the subset of universal set U.

Proof:

Consider a set A then complement of a setA={x|xA}.

Let x(A).

Then, if,

x(A)xAxA

So, (A)A

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