No. Let A = {a} (a singleton set) then P(A) = {a, 0} where 0 is the null (empty) set.
The set of people who answered this question before I did. There is only one empty set (a consequence of the Axiom of Extensionality). So the above answer is correct, and is equal to every other example.
It is an empty set.
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
1. Null set or Empty set 2. Singleton set 3. Pair set
No. Let A = {a} (a singleton set) then P(A) = {a, 0} where 0 is the null (empty) set.
The set of people who answered this question before I did. There is only one empty set (a consequence of the Axiom of Extensionality). So the above answer is correct, and is equal to every other example.
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 is empty set
It is an empty set.
Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.
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 is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)
1. Null set or Empty set 2. Singleton set 3. Pair set
difinition of empty set
The empty set is a set that has no elements.
The only subset of an empty set is the empty set itself.