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Math Help - Prove if two sets are denumerable then their union is denumerable

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    Prove if two sets are denumerable then their union is denumerable

    Prove in detail that if S and T are denumerable, then (S U T) is denumerable. Thanks for any help.
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    Can you prove that the union of two disjoint countable set is countable?
    Can you prove that any subset of a countable set is countable?

    Then consider (S\cup T)=S\cup (S\setminus T).
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