The 2y is throwing me a bit here. To determine if it is reflexive, I have done the following: , which is a no with counter example (1,2), as that would give me (1,4) and be greater than 3. Is every second number doubled? Ie. (x,2x) or (x,2y)?
I have concluded this relation is not symmetric, as it does not imply , on the basis that is , this would result in for , which is greater than 3. I have no confidence in this answer however.
I'm floundering on this one. Every time it was touched on during the lecture, it was simple examples, like is even, or if there was an equality, there wasn't a defined set for it.
For determining transitive, what would I use as z?