# Let A and B be finite sets. (a) Explain why n(ANB) ≤ n(A).

Last updated: 7/5/2022

Let A and B be finite sets. (a) Explain why n(ANB) ≤ n(A). (b) Explain why n(A) ≤n(AUB). (c) Suppose n(ANB) = n(AUB). What more can be said about A and B? (a) Explain why n(ANB) ≤n(A). Choose the correct answer below. OA. The set AnB contains only the elements of A that are also elements of B. Thus, AnB cannot have more elements than A. OB. The set AnB contains all the elements of A and any additional elements of B that are not already included. Thus, the complement of AnB cannot have more elements than the complement of A. OC. The set AnB contains only the elements of B that are not also elements of A. Thus, since A and B are both finite, it follows that AnB cannot have more elements than A. OD. The set AnB contains only the elements of A that are not also elements of B. Thus, AnB cannot have more elements than A.