Hint: look at the symmetry property.
Hi there,
So I've just been given a revision sheet for my upcoming exams and theres just one question I have no idea how to answer.
So here it is:
Given the following relation R on the set of non-negative integers, test whether R satisfies each of the properties of an equivalence relation.
R = {(x, y) : x ≥ y-1}
Hopefully someone can help me out
Maybe it's the notation that's confusing you. R is a set of all pairs of positive integers that obeys the condition x ≥ y-1. The point (3,1) belongs to R, for R to be an equivalence relation (1,3) should also belong to R. Since it doesn't, we have a counter example that proves R is not an equivalence relation.
edit: changed "equivalente" to "equivalence". I'm mixing english with portuguese here :P