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Q: Can an empty set be a subset and a proper subset?

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An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.

It isn't. The empty set is a subset - but not a proper subset - of the empty set.

yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.

The empty set.

NO

Yes

The null set is a proper subset of any non-empty set.

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.

The empty set has only one subset: itself. It has no proper subsets.

The only subset of an empty set is the empty set itself.

The set {1, 3} is a proper subset of {1, 2, 3}.The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original set.

Every set contains the empty set. Every set is a subset of itself.

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