Question

If A = {x : x ∈ [p , q] where p , q , x ∈ N} , then what is the value of n [ P(A)] , where P(A) denotes the power set of A.

Answer 1

Answer:

In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself.[1] In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set.[2] The powerset of S is variously denoted as P(S), (S),[3] P(S), {\displaystyle \mathbb {P} }\mathbb {P} (S), ℘(S) (using the "Weierstrass p"), or 2S. The notation 2S is used because given any set with exactly two elements, the powerset of S can be identified with the set of all functions from S into that set.[1]

The elements of the power set of {x, y, z} ordered with respect to inclusion.

Any subset of P(S) is called a family of sets over S.

Answer 2

Answer:

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