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No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.
The null set. Every set is a subset of itself and so the null set is a subset of the null set.
A set with only one element in it. The only proper subset of such a set is the null set.
The only proper subset of a set comprising one element, is the null set.
Yes the null set is a subset of every set.