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

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โˆ™ 2010-05-31 17:42:36
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A polynomial of degree zero is a constant term

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Q: Why can a proper subset be a subset of itself?
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Related questions

Can a proper subset be a subset of itself?

yes


Can any set be a proper set of itself?

NO- by definition a set is not a proper subset of itself . ( It is a subset, but not a proper one. )


Difference between subset and proper subset?

A subset of a set S can be S itself. A proper subset cannot.


Can any set be a proper subset of itself give an example of why or why not?

No, by definition. A proper subset is a subset that contains some BUT NOT ALL elements of the original set.


Is null set a proper subset of any set?

yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other 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 an example of a proper subset?

Let A be the set {1,2,3,4} B is {1,2} and B is a proper subset of A C is {1} and C is also a proper subset of A. B and C are proper subsets of the set A because they are strictly contained in A. necessarily excludes at least one member of A. The set A is NOT a proper subset of itself.


What is the difference between a subset and a proper subset?

the difference between a subset and a proper subset


What are the ASCII codes for subset and proper subset?

Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,


What are examples of a proper subset?

The set {1, 3} is a proper subset of {1, 2, 3}.The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original 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.


What is the subset of a line?

The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line.

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