Question

If U= {1,2,3,4,5,6} ,A={ 1,3,4} find A'

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Answer 1

.......

U = {1,2,3,4,5,6}

A = {2,3}

B = {3,4,5}

A∪B={2,3} ∪ {3,4,5} = {2,3,4,5}

Therefore, (A∪B)

′

= {1,6}

Also, A

′

= {1,4,5,6}

B

′

= {1,2,6}

Therefore, A

′

∩B

′

= {1,4,5,6} ∩ {1,2,6} = {1,6}

Hence, (A∪B)

′

=A

′

∩B

′

.

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Answer 2

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