A subset is smaller. A subset is made up of entries from the regular set, so it cannot be bigger, and it cannot be the same size, because that would just be the regular set again.
Example: {2, 3, 5} is a subset of {2, 3, 4, 5, 6}
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A is a subset of a set B if every element of A is also an element of B.
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.
The set of Rational Numbers is a [proper] subset of Real Numbers.
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.