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Union and intersections - class-IX

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Let $n$ be a fixed positive integer. Define a relation $R$ on $I$ (the set of all integers) as follows: a R b iff $n|(a-b)$ i.e., iff (a-b) is divisible by n. Show that $R$ is an equivalence relation on 1.

  1. $R$ is an equivalence relation on 1.
  2. $R$ is not an equivalence relation on 1.
  3. $R$ is a symjetric relation on 1.
  4. $R$ is an identity relation on 1.
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