2026 · Q33
Consider the following statements:
- IIf A is a subset of U and U is the Universal set, then the complement of the set A is also a subset of U.
- IIThe complement of a Universal set is a singleton set.
Which of the statements given above is/are correct?
Elementary MathematicsSet Theory
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
Statement I is correct: the complement of A is taken inside U, so A' ⊆ U whenever A ⊆ U. Statement II is false: the complement of the universal set is the empty set, not a singleton. Hence I only, option A.