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Question

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


A
{1, 6}
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B
{2, 6}
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C
{3, 6}
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Solution

The correct option is A {1, 6}
Given,
U = {1, 2, 3, 4, 5, 6}
A = {2, 3}
B = {3, 4, 5}

Now,
A ' = {1, 4, 5, 6}
B ' = {1, 2, 6}

A ' ∩ B ' = {1, 4, 5, 6} ∩ {1, 2, 6}
= {1, 6}
According to Demorgan's Law,
A ' ∩ B ' = (A U B) '

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