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Complement of a Set

If U = 2, 4, ...

Question

If U = {2, 4, 6, 8, 10, 12, 14} and
A = {2, 4, 10}, where U is the Universal set .
Which of the following is A^C?

A

{2, 4, 6, 8}

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B

{6, 8, 12, 14}

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C

{4, 10, 12, 14}

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D

{8, 6, 10}

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Solution

The correct option is B
{6, 8, 12, 14}

Here, U is the universal set given as
U = {2, 4, 6, 8, 10, 12, 14}
And A = {2, 4, 10}
Also, $A^{c} = U - A$
Thus, $A^{c} =$ {6, 8, 12, 14}

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