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Complement of a Set

If U=11,12,13...

Question

If $U = {11, 12, 13, 14, 15, 16},$ and $A = {12, 14, 16}$ , then $A^{'}$ is:

A

{11, 13, 15}

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B

{11, 15, 18}

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C

{11, 13, 16}

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D

{12, 13, 15}

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Solution

The correct option is A ${11, 13, 15}$
Given $U = {11, 12, 13, 14, 15, 16}$
and $A = {12, 14, 16}$
Now, $A^{'} = U - A$
$\Rightarrow A^{'} = {11, 12, 13, 14, 15, 16} - {12, 14, 16}$
$\Rightarrow A^{'} = {11, 13, 15}$

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