old rose
Trying to go through my prof's notes and having trouble figuring out the highlighted prompts. Was wondering if someone could explain which properties apply for the relations iv) and v) or correct my misunderstandings below:
iv) I see that (0,0), (0,1), (1,0) (1,1) or (1,1) (1,2) make up the relation. I believe this would mean it is: Reflexive because (0,0) and (1,1) - or should I also be considering yRy in which case (2,2) is not there? Not symmetric because (1,2) does not imply (2,1) which isn't in the relation. Not antisymmetric because (0,1) and (1,0) exist but 0 does not equal 1. Not transitive because although 0R1 and 1R2, 0R2 does not exist.
I think mostly I'm confused by the union; should I take this to mean that at least one is satisfied is enough for the relation, or just that I have to consider the total possibilities from both sides of the union?
v) I don't understand this whatsoever.
ripe inlet