Prove in detail that ifSandTare denumerable, then (SUT) is denumerable. Thanks for any help.

- Oct 2nd 2010, 11:04 AMdynas7yProve 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. - Oct 2nd 2010, 11:21 AMPlato
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 $\displaystyle (S\cup T)=S\cup (S\setminus T).$