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It is possible to specify a condition which can't be fulfilled, for example, the intersection of two sets that have no element in common. The result would have no elements. Not allowing this kind of operation would be more complicated than defining a null set (or empty set) that has zero elements.

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Q: Why use a null set?

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The null set. Every set is a subset of itself and so the null set is a subset of the null set.

A null set is a set with nothing in it. A set containing a null set is still containing a "null set". Therefore it is right to say that the null set is not the same as a set containing only the null set.

There is only one null set. It is 'the' null set. It is a set which does not contain any numbers.

The null set is a set which has no members. It is an empty set.

A null set is a set that contains no elements.

There is only one null set. It is 'the' null set. It is a set which does not contain any numbers. It is represented by the symbol ∅.

There is only one null set. It is 'the' null set. It is a set which does not contain any numbers. It is represented by the symbol ∅.

yes

A null set is a set that does not contain any elements, an empty set.

a set which has no elements in it is called a null set. example - A={}.

A null or empty set is a set that does not contain any elements.

Yes the null set is a subset of every set.

{}, or the Greek letter phi.

empty set or null set is a set with no element.

An empty set is a set that has no elements. A null set has 0 elements. This may sound the same but just think of it as this: 0 is a number, as in null, and empty set no elements

No. Let A = {a} (a singleton set) then P(A) = {a, 0} where 0 is the null (empty) set.

-- The null set is a set with no members. -- So it has no members that are absent from any other set.

Null set

The Null Set is a Set.

A null set.

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.

Null Set is also called Void Set. Some books have even called it Empty Set.

null set or empty set, is a set with no elements.

Yes. A null set is always a subset of any set. Also, any set is a subset of the [relevant] universal set.

Yes