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Question: give an induction argument to prove that the union of...

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Give an induction argument to prove that the union of a finite number of finite sets is a finite set. Assume that the base case is true as indicated in part (2) of Theorem 1.22THEOREM 1.22 The following results on finite and infinite sets are valid 1. A subset 2. The union of two finite sets is a finite set 3. A set that contains an infinite subset is infinite 4. A set that contains an uncountable subset is uncountable. of a finite set is finite.

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