Question regarding equivalence relation


Let the ralation R be stated on the set Z of all integers by a R b if and only if a^2-b^2 is multiple of 3. Find out whether R is an equivalence relation. Either prove that R is an equivalence relation or specifically demonstrate which properties of an equivalence relation it fails to have. Determine [1]={n E Z | 1 R n}

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Mathematics: Question regarding equivalence relation
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