Yes the null set is a subset of every set.
The null set. It is a subset of every set.
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.
yes!
Yes.
Yes the null set is a subset of every set.
The null set. It is a subset of every set.
yes
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 definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.
Yes. A null set is always a subset of any set. Also, any set is a subset of the [relevant] universal set.
yes!
Yes.
-- The null set is a set with no members. -- So it has no members that are absent from any other set.
A set with only one element in it. The only proper subset of such a set is the null set.
There is only one empty set, also known as the null set. It is the set having no members at all. It is a subset of every set, since it has no member that is not a member of any other set.
It's an axiom.