Question

Does a powerset include the set itself?

a) Yes
b) No
c) Depends on the size of the set
d) Only for finite sets

Answer 1

A powerset includes all subsets of a set, including the empty set and the set itself. The correct answer to whether a powerset includes the set itself is yes, as per the definition of a powerset.

Step-by-step explanation:

The question pertains to the concept of powersets in mathematics. A powerset is the set of all subsets of a set, including the empty set and the set itself. Therefore, the correct answer to the question, "Does a powerset include the set itself?" is (a) Yes. This is because the definition of a powerset is inclusive of all possible subsets that can be formed from the original set, regardless of the size or finiteness of the original set.