if A and B are finite sets and A<B
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(a) If A is a finite set, then A∩B is a finite set. (b) If A∪B is a finite set, then A and B are finite set. ... (b) If A, B, C, and D are sets with A≈B and C≈D and if A and C are disjoint and B and D are disjoint, then A∪C≈B∪D.
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