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-- The null set is a set with no members.

-- So it has no members that are absent from any other set.

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โˆ™ 2012-06-06 19:53:12
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Q: Why is it that the null set is a subset of all sets?
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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.


Different types of sets in mathematics?

The different types of sets are- subset null set finiteandinfiniteset


Why is it non set is asubset of all sets?

A "subset" means you can make it out of the pieces in the original set. No matter what set you begin with, you always have the option to choose no pieces at all--that creates the null subset.


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

Yes the null set is a subset of every set.


Which set is a subset of every set?

The empty set is a subset of all sets. No other sets have this property.


What is universal subset?

The null set. It is a subset of every set.


Every subset of a null set is a null set?

yes


Why null set is not considered as an element of any set even though it is an subset of every set?

Let set A = { 1, 2, 3 } Set A has 3 elements. The subsets of A are {null}, {1}, {2}, {3}, {1,2},{1,3},{1,2,3} This is true that the null set {} is a subset. But how many elements are in the null set? 0 elements. this is why the null set is not an element of any set, but a subset of any set. ====================================== Using the above example, the null set is not an element of the set {1,2,3}, true. {1} is a subset of the set {1,2,3} but it's not an element of the set {1,2,3}, either. Look at the distinction: 1 is an element of the set {1,2,3} but {1} (the set containing the number 1) is not an element of {1,2,3}. If we are just talking about sets of numbers, then another set will never be an element of the set. Numbers will be elements of the set. Other sets will not be elements of the set. Once we start talking about more abstract sets, like sets of sets, then a set can be an element of a set. Take for example the set consisting of the two sets {null} and {1,2}. The null set is an element of this set.


What is a universal subset?

The universal subset is the empty set. It is a subset of all sets.


Does every set have a proper subset?

No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.


Is there a subset to 0?

There is, because {0} has one element, 0. The set {0} therefore can have infinite sets, providing that, all sets are either null or has one element, 0.


Does all sets have subsets?

Yes all sets have subsets.Even the null set.


Is null set a proper subset?

yes!


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.


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.


Why empty set or null set is subset of every set?

There is only one empty set, also known as the null set. It is the set having no members at all. It is a subset of every set, since it has no member that is not a member of any other set.


What can you say empty sets or null sets?

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


What is a different from subset and proper subset?

If set A and set B are two sets then A is a subset of B whose all members are also in set B.


Is null set both a complement and subset of universal set?

Yes.


What is the difference between subset and equal sets?

Equal sets are the sets that are exactly the same, element for element. A proper subset has some, but not all, of the same elements. An improper subset is an equal set.


Which set possesses only one proper subset?

A set with only one element in it. The only proper subset of such a set is the null set.


Proof is null set proper subset of every set?

It's an axiom.


Does every set have a subset?

Yes. One of the subsets is the set itself. The other is the null set.


If A-B equals null set then prove A subset of B?

A - B is null.=> there are no elements in A - B.=> there are no elements such that they are in A but not in B.=> any element in A is in B.=> A is a subset of B.


What are the proper subsets of 36912 in matrix form?

The only proper subset of a set comprising one element, is the null set.