An empty subset is a part of every set because it is necessary to satisfy the equation of subsets which is 2n. n= (number of elements). Therefore, an empty set is required to satisfy the formula of subsets.
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A is a subset of a set B if every element of A is also an element of B.
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.
No, but it is a subset of every set.It is an element of the power set of every set.
NO- by definition a set is not a proper subset of itself . ( It is a subset, but not a proper one. )
no. A subset would have to allow for values in its parent which are not in its self.