b) Determine whether each of the relations defined below on the set of positive integers is a partial order?
(a) (x,y) ϵ R if x = y2 (b) (x,y) ϵ R if x > y (c) (x,y) ϵ R if x y (d) (x,y) ϵ R if x = y (e) (x,y) ϵ R if 3 divides x-y
Partial Order set equation and element
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discrete-mathematics
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0Try first the simple ones, like (a) and (b), applying the defintion of [Partial order](https://en.wikipedia.org/wiki/Partially_ordered_set#Formal_definition). – 2017-02-24