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Earn +20 ptsQ: Why an empty set is a subset of every set?
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Continue Learning about Geometry
What is a subsets?
A is a subset of a set B if every element of A is also an element of B.
Why a null set is subst of every set?
The definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.
Is the null set an element of every set?
No, but it is a subset of every set.It is an element of the power set of every set.
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. )
Can a set be a subset of itself?
no. A subset would have to allow for values in its parent which are not in its self.
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