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Step-by-step explanation:
R = { (x,y) : x divides y }
As, x divides x
= (x,x) belongs to R
So, R is a reflexive relation
Given (x,y) belongs to R
= x divides y
= y doesn't divide x
(x,y) doesn't belong to R
So, R ia not a symmetric relation
let (x,y) belong to R and
(y,z) belong to R
= x divides y and y divides z
= x divides z
So, R is a transitive relation
R is a transitive and reflexive relation