10. In this problem we will give another proof that the set of all sets doesn't make sense. Suppose S is the set of all sets. (a) Prove that if A and B are any sets with ACB, then |A| ≤ |B|. (b) Using your result from (a), prove that |P(S)| ≤ |S| and conclude that S does not exist (recall that we proved that |P(A) > |A| for any set A).

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