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 one year ago
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wioBest ResponseYou've already chosen the best response.1
So \(x \in \{1, 2, 3\}\) and \(y\in \{1, 2, 3, 4, 5, 6, 7\}\). You want to find every pair that fits the equality \(2x+y=7\).
 one year ago

wioBest ResponseYou've already chosen the best response.1
I would start by making \(y\) a function of \(x\). So we have \(y(x) = 2x+7\). I would then plug in each possible \(x\).
 one year ago

wioBest ResponseYou've already chosen the best response.1
\[ x=1 \implies y = 5 \\ x=2 \implies y = 3 \\ x=3 \implies y = 1 \]So the answers we get is: \[F = \{(1, 5), (2,3), (3,1)\}\]
 one year ago

wioBest ResponseYou've already chosen the best response.1
A general heuristic I can see being useful is to make the larger set be a function of the smaller set, because you have to do less plugging stuff in.
 one year ago

minnie123Best ResponseYou've already chosen the best response.0
Okay thanks my internet connection sucks so it took me long to see this and respond to you... :)
 one year ago
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