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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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โˆ™ 2009-10-29 23:40:23
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Q: Why use a null set?
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What is the subset of null set?

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


Is it right saying that the null set is not equal to the set containing null set as its only element?

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.


What is an example of a null set?

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


What is null set in math?

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


What are example of null set?

A null set is a set that contains no elements.


What are the example of a null set?

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 ∅.


What are the example of null set?

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 ∅.


Every subset of a null set is a null set?

yes


What is the meaning of null set?

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


What is the ways to describe a null set?

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


What is a null or empty set?

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


Is a null set in mathematics a subset of every set?

Yes the null set is a subset of every set.


What are the symbols that you use to denote a null set?

{}, or the Greek letter phi.


What can you say empty sets or null sets?

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


What is a empty or null set?

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


Is power set of singleton set equal to null set?

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


Why is it that the null set is a subset of all sets?

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


What is empty set in mathematics?

Null set


Can nothing be something?

The Null Set is a Set.


What kind of set has no elements?

A null set.


Why a null set is subst of every 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.


What are the other names for a null set?

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


What is a mull set?

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


Is a null set is always a part of a universal set?

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


Is empty set or null set are same?

Yes