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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.
Why every set has an empty set?
Any set has the empty set as subset A is a subset of B if each element of A is an element of B For the empty set ∅ the vacuum property holds For every element of ∅ whatever property holds, also being element of an arbitrary set B, therefore ∅ is a subset of any set, even itself ∅ has an unique subset: itself
Is a set containing empty set a subset of itself?
Every set contains the empty set. Every set is a subset of itself.
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 will be the representation of subset of a empty set?
The only subset of an empty set is the empty set 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. )
any set is a proper subset of itself?
true
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.
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.
Why every set has an empty set?
Any set has the empty set as subset A is a subset of B if each element of A is an element of B For the empty set ∅ the vacuum property holds For every element of ∅ whatever property holds, also being element of an arbitrary set B, therefore ∅ is a subset of any set, even itself ∅ has an unique subset: itself
Is an empty set element of any set s?
The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.
Is a set containing empty set a subset of itself?
Every set contains the empty set. Every set is a subset of itself.
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.
