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## Homework Statement

Q. Define an order relation

(x,y)<(j,k) if and only if x+k<y+j

## Homework Equations

x<y means x+a=y and viceversa

## The Attempt at a Solution

I have no idea. To show it is equivalence relation, I simply show that it is reflexive, transitive and symmetric. but how do I show it is order relation?