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Let $A=\{ a \in \Bbb{N} : a \text{ even}\}$ and $B=\{b \in \Bbb{N} : b \text{ odd}\}$ Define a funtion $f:A \times B \to \Bbb{N}$ by $f(a,b)=(a+2b)/2$.

How do you show this function is surjective?

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    you should learn Latex. Look how nice it looks now, and I think it is easier than writing all the symbols.2012-04-10
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    Yojito: Any luck with my answer below?2012-05-07

3 Answers 3