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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. )
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 a subsets?
A is a subset of a set B if every element of A is also an element of B.
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.
What is example of subset in math?
The set of Rational Numbers is a [proper] subset of Real Numbers.
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.
Is a set containing empty set a subset of itself?
Every set contains the empty set. Every set is a subset of itself.
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. )
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.
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.
What will be the representation of subset of a empty set?
The only subset of an empty set is the empty set 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.
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.
Difference between subset and proper subset?
A subset of a set S can be S itself. A proper subset cannot.
What the example of improper subset?
If you have a set S, the only improper subset of S is S itself. An improper subset contains all elements of S and no others. It is therefore equivalent to S. For example if S ={1,2,3} then the improper subset is {1,2,3}, and an example proper subset is {1,2}.
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.
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.
