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Question

A = {1,2,3,6}, B = {2,3,5,7} and U = {1,2,3,4,5,6,7,8,9,10}.
Then, A' ∩ B' =

A
{2,3}
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B
{4,8,9,10}
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C
{1,2,3,5,6,7}
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D
{1,2,5,7}
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Solution

The correct option is B {4,8,9,10}
Given:
A = {1,2,3,6}
B = {2,3,5,7}
U = {1,2,3,4,5,6,7,8,9,10}

A∪B = {1,2,3,5,6,7}

(A∪B)' = U – A∪B = {4,8,9,10}

According to De Morgan's first law,
(A∪B)' = A' ∩ B'

Thus, A' ∩ B' = {4,8,9,10}

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