I have to define whether the following relation is symmetric, reflexive, and transitive.
Define a relation R on Z as follows: (x, y) ∈ R if and only if x = |y|:
This is my answer so far:
Is R symmetric? No
Is R reflexive? No
Is R transitive? No
I am not exactly confident with this answer because I am not sure if we should check these properties based on x, y for all x, y ∈ R or based on x, y for all x, y ∈ Z