=+c) Show in the nonatomic case that 0 ≤ x ≤ P( A) implies that there exists a B such that B CA and P(B) =x. Hint: Inductively define classes & ,, numbers h, and sets H, by X = (Ø) = (H), * = [H: H CA - Uk <, Hk, P(U k < , Hk) + P(H) h, - n -.

Consider U , HR-