Which of the following sets has no proper subset?
Which of the following sets has no proper subset?
- A.
{1}
- B.
{ }
- C.
{1, 2}
- D.
Universal set
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Correct answer: B
Correct answer: The empty set { }
Definition of proper subset: A proper subset of a set S is a subset that is strictly smaller than S (that is, a subset that is not equal to S).
Because the empty set has no elements, the only subset it can have is itself.
A proper subset must be different from the set, so there is no subset distinct from the empty set. Therefore, the empty set has no proper subsets.