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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.

Q: Is empty set super 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.

The empty set is a set that has no elements.

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

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.

An empty set is this { } It's just a set with nothing in it.

Related questions

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.

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.)

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.

empty set is a set because its name indicate as it is the set.

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

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.

The complement of an empty set is universal set

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