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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Prove or disprove that ( A B ) = ( A ) ( B ) .

To determine

Whether the statement, “(AB)=(A)(B)” holds for set A and B or not.

Explanation

Formula Used:

If A and B are two sets then AB is defined as {x|xAandxB}.

Explanation:

Consider a set C belongs to (AB).

Then,

C(AB)C(AB)IfxCxABIfxCxAandxBx

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