# Need help with relation properties using logical operators

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:

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

{ x : P(x) or Q(x) } = { x : P(x) } $$\cup$$ { x : Q(x) }
• This means that $R$ will be the union of two sets representing the two cases, @john5 – Graham Kemp Apr 23 at 3:13