(a) Show that if (A) is a countable set and (B) is a finite set, then (A...
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(a) Show that if \(A\) is a countable set and \(B\) is a finite set, then \(A \cup B\) is countable.
(b) Show that if \(A\) and \(B\) are both countable sets, then \(A \cup B\) is countable.
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