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Earn +20 ptsQ: Can any set be a subset of itself?
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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.
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