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  3. 4: \textbf{proof} prove that if $a$ and $b$ are co

4: \textbf{Proof} Prove that if $A$ and $B$ are countable sets, then $A \cup B$ is...

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4: \textbf{Proof} Prove that if $A$ and $B$ are countable sets,then $A \cup B$ is countable.

5: Use induction and problem 4 to prove that if $A_1, A_2, ...,A_m$ are each countable sets, then the union $A_1 \cup A_2 \cup ...\cup A_m$ is countable.

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