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No, an empty set can't be the super set.
The definition of super set is as follows:
If A and B are sets, and every element of A is also an element of B, then B is the super set of A, denoted by B ⊇ A.
Another way to interpret this is A ⊆ B, which means that "A is the subset of B".
Suppose that ∅ is the super set. This implies:
∅ ⊇ A [Which is not true! Contradiction!]
Remember that ∅ and {∅} are two different sets. If we have {∅}, then there exists an element that belongs to that set since ∅ is contained in that set. On the other hand, ∅ doesn't have any element, including ∅.
Therefore, an empty set can't be the super set.
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Is an empty set a subset of every set?
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
What isan empty set?
The empty set is a set that has no elements.
What will be the representation of subset of a empty set?
The only subset of an empty set is the empty set itself.
What is empty set in algebra?
An empty set is a set with no elements. It can be symbolized by {} or ø. The solution set for an equation that has no solution is also called an empty set.
What is a empty set in math?
An empty set in math is called a null set.
Is a empty set a proper subset explain with reason?
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.
Is an empty set a subset of itself?
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.
Is an empty set a subset of every set?
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
What is the meaning of empty set?
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.)
What is empty set?
difinition of empty set
What isan empty set?
The empty set is a set that has no elements.
What will be the representation of subset of a empty set?
The only subset of an empty set is the empty set itself.
Is empty set a set and how?
empty set is a set because its name indicate as it is the set.
Why empty set is proper subset of every set?
It isn't. The empty set is a subset - but not a proper subset - of the empty set.
Is an empty set element of any set s?
The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.
What is complement of an empty set?
The complement of an empty set is universal set
What do you call a set with no elements?
null
