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Question

# If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, Then, set AC is

A

{1, 2, 8, 10, 14, 17}

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B

{2, 8, 10, 14, 17}

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C

{2, 8, 10, 14, 17}

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D

Can't be determined

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Solution

## The correct option is D Can't be determined Given: ∪ is the universal set and A is some other set. Then the complement of A (AC) is the set of all elements of ∪ which are not the elements of A. Also, complement of a set is defined only if the set is a subset of the universal set. ∴ AC = ∪ - A if A ⊂ ∪ Here A ⊄ ∪ So, AC is not defined here.

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