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 A^C is ________.

{4,6, 8, 10, 14, 17}

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{2, 8, 10, 14, 17}

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

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can't be determined

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Solution

The correct option is D
can't be determined

Let ∪ be the universal set and A be a subset of ∪. Then the complement of A is the set of all elements of ∪ which are not the elements of A.

∴ A^C = ∪ - A if A ⊂ ∪
Here A ⊄ ∪
So, A^C is not defined here.

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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 ________.

The correct option is D can't be determined Let ∪ be the universal set and A be a subset of ∪. Then the complement of A is the set of all elements of ∪ which are not the elements of A. ∴ AC = ∪ - A if A ⊂ ∪ Here A ⊄ ∪ So, AC is not defined here.

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 A^C is ________.

The correct option is D
can't be determined

Let ∪ be the universal set and A be a subset of ∪. Then the complement of A is the set of all elements of ∪ which are not the elements of A.

∴ A^C = ∪ - A if A ⊂ ∪
Here A ⊄ ∪
So, A^C is not defined here.