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Properties of Set Operation

If A is any...

Question

If $A$ is any set, then

A \cup A^{'} = ϕ

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A \cup A^{'} = U

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A \cap A^{'} = U

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None of these

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Solution

The correct option is D $A \cup A^{'} = U$
It is clear from the Venn diagram that
Union of A and its complement set A' will give U.
Hence, $A \cup A^{'} = U$
Since, A and A' are complement sets, no common portion.
Hence, $A \cap A^{'} = ϕ$

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Similar questions

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