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Earn +20 ptsQ: What will be the representation of subset of a empty set?
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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 a set containing empty set a subset of itself?
Every set contains the empty set. Every set is a subset of itself.
Can an empty set be a subset and a proper subset?
Yes.
Is empty set an improper subset?
Recall that Improper subset of A is the set that contains all and only elements of A. Namely A. So does the empty set have all of A provided A is not empty? Of course not! The empty set can be only considered an improper subset of itself.
Which set does not have a proper subset?
The empty set.
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