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Q: Why empty set is always a subset of every set?

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

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

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

The empty set!

No. The empty is the a subset of every set and every set is a subset of itself.

No. An empty set is a subset of every set but it is not an element of every set.

Yes, it is

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.

The empty set is a subset of all sets. No other sets have this property.

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

The trivial subsets of a set are those subsets which can be found without knowing the contents of the set. The empty set has one trivial subset: the empty set. Every nonempty set S has two distinct trivial subsets: S and the empty set. Explanation: This is due to the following two facts which follow from the definition of subset: Fact 1: Every set is a subset of itself. Fact 2: The empty set is subset of every set. The definition of subset says that if every element of A is also a member of B then A is a subset of B. If A is the empty set then every element of A (all 0 of them) are members of B trivially. If A = B then A is a subset of B because each element of A is a member of A trivially.

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