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It is the set of all elements we are considering or dealing with in a given problem. We use a capital U or sometimes capital E to mean the universal set.

Now take ANY two sets, A and B. If every single element of set A is contained in set B, we say A is a subset of B.

The empty set is a subset of every set.

Every set in contained in the universal set, so they are all subset of it.

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Q: What the universal set and a subset?
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Related questions

What is a universal subset?

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


What is universal subset?

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


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 null set both a complement and subset of universal set?

Yes.


If you be the universal set you is a set of counting numbers and set a of counting numbers from 1 to 10 wh olly contained in you then a is a proper subset of you?

If I understand the question correctly then a is a proper subset of u.


What are the subset of the universal set U equals 1 to 50?

There are 250 subsets. That is 1,125,899,906,842,624 of them and I am NOT proposing to list them.


Is 0 is a subset of 0?

0 is subset of 0 no doubt. subset means taking part of universal set.here you are taking whole part of universal set.so 0 is subset of 0.


Is a subset can be a set?

yes ,,,because subset is an element of a set* * * * *No, a subset is NOT an element of a set.Given a set, S, a subset A of S is set containing none or more elements of S. So by definition, the subset A is a set.


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.


What the meaning of subset?

A subset is a division of a set in which all members of the subset are members of the set. Examples: Men is a subset of the set people. Prime numbers is a subset of numbers.


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.


What is a subset in maths?

A set "A" is said to be a subset of of set "B", if every element in set "A" is also an element of set "B". If "A" is a subset of "B" and the sets are not equal, "A" is said to be a proper subset of "B". For example: the set of natural numbers is a subset of itself. The set of square numbers is a subset (and also a proper subset) of the set of natural numbers.