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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 A = ϕ for all sets A .

To determine

Whether the statement, ‘AA=ϕ for all sets A’ is true or false.

Explanation

Formula Used:

For arbitrary subsets AandB of the universal set U, the complement of B in A is

AB={xU|xAandxB}

Explanation:

The empty set is the set that has no elements, and the empty set is denoted by ϕ or {}.

Consider a set A

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