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I was wondering how should I proceed to determine what will be in the relation and what will not given these properties. Operating with integers:

$R: \{(a, b)|(a= 0∧b= 0)∨ GCD(a, b) = 5\}$

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R = { (a, b) : (a = 0 ∧ b = 0) ∨ exists coprime j,k with (a = 5j ∧ b = 5k) }

{ x : P(x) or Q(x) } = { x : P(x) } $\cup$ { x : Q(x) }

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  • $\begingroup$ So this means the relation properties will be based on both of these definitions? $\endgroup$ – john5 Apr 23 at 2:08
  • $\begingroup$ This means that $R$ will be the union of two sets representing the two cases, @john5 $\endgroup$ – Graham Kemp Apr 23 at 3:13

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