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U={1,2,3,4,5,6}, A={1,3,5} and B={3,5,6}, then (A∪B)'=?​

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Given that,

U={1,2,3,4,5,6}, A={1,3,5} and B={3,5,6}

According to De Morgan's Law:

(A∪B)′=A′∩B′

A′=U−A

= {1,2,3,4,5,6} − {1,3,5}

= {2,4,6}

B′=U−B

= {1,2,3,4,5,6} − {3,5,6}

= {1,2,4}

∴ (A∪B)′=A′∩B′

= {2,4,6}∩{1,2,4}

= {2,4}

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Answer:

U={1,2,3,4,5,6}, A={1,3,5} and B={3,5,6}, then (A∪B)'=?

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