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  3. (11) prove that a union of two countable sets is c

(11) Prove that a union of two countable sets is countable. (Hint: the same idea used...

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Advance Math

(11) Prove that a union of two countable sets is countable.(Hint: the same idea used to show that Z is countable might beuseful.) (Don’t forget that countable sets can be finite.)

(12) We saw in class that N × N ? N is countable. Prove that A ×B is is countable for any countable sets A, B. (Hint: If you canprove that A × B ? N × N then you can use what has alreadyproved...) (Don’t forget that countable sets can be finite.)

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