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Discrete Math: Union from i = 1 to infinity of A_i where A_i = (0,i), that is, the set of real numbers x such that 0 < x < i? I answered {x in R  0 < x < infinity} but I'm worried about the correctness of that answer, since wouldn't this apply if A_i = (0,i] also?
 one year ago
 one year ago
Discrete Math: Union from i = 1 to infinity of A_i where A_i = (0,i), that is, the set of real numbers x such that 0 < x < i? I answered {x in R  0 < x < infinity} but I'm worried about the correctness of that answer, since wouldn't this apply if A_i = (0,i] also?
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.3
first answer was right, but you don't need to write the \(\infty\) on the right
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
\[\bigcup_{i=1}^\infty A_i \quad \text{where}\quad A_i=(0, i)\]I'm going to agree with @satellite73 here. I see nothing wrong with your answer. And it would be the same if \(A_i=(0, i]\). It's just a different way of writing things.
 one year ago

windsylphBest ResponseYou've already chosen the best response.0
Thank you very much.
 one year ago
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