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Earn +20 ptsQ: Universal set minus null set is equal to?
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What is universal subset?
The null set. It is a subset of every set.
Is null set both a complement and subset of universal set?
Yes.
Is it right saying that the null set is not equal to the set containing null set as its only element?
A null set is a set with nothing in it. A set containing a null set is still containing a "null set". Therefore it is right to say that the null set is not the same as a set containing only the null set.
Is power set of singleton set equal to null set?
No. Let A = {a} (a singleton set) then P(A) = {a, 0} where 0 is the null (empty) set.
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.
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