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Q: Is every set equal to itself?
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Is a set containing empty set a subset of itself?

Every set contains the empty set. Every set is a subset of itself.


Is a set always a superset of itself?

Yes, every set is a superset of itself!


Can there exist a set that has no subsets?

No. The empty is the a subset of every set and every set is a subset of itself.


Is an empty set a subset of every set?

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.


Why is every set a subset of itself?

That is how "subsets" are defined.


Does 100 equal 100?

Yes. Every number is equal to itself (and to no other number).


Does every set have a subset?

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

I believe the term "proper set" is not use in math. A "proper subset" is a subset of a given set, that is not equal to the set itself.


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.


What can be set of points with equal abscissa's with equal ordinates?

The ordinate and abscissa are equal for every point on the line [ y = x ].


Why can a proper subset be a subset of itself?

Because every set is a subset of itself. A proper subset cannot, however, be a proper subset of itself.