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Discrete maths equivalence relation

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Consider the equivalence relation
namely, R = (x, y) I x - y is an integer}.

 What is the equivalence class of R={ (x,y) | x-y in integer(Z)}  equivalence
relation?

Given answer is :- (n + 1/2 I n E Z)

My answer is :- (n*1/2 | n E Z)

 

Is my answer correct also?

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