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 A^C is

• A. {1, 2, 8, 10, 14, 17}
• B. {2, 8, 10, 14, 17}
• C. {2, 8, 10, 14, 17}
• D. Can't be determined

Answer 1

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