Let $n$ be a fixed positive integer. Define a relation $R$ in $Z$ as follows: $\forall a,b\in Z,aRb$ if and only if $a-b$ is divisible by $n$ . Show that $R$ is an equivalence relation.

This is a Short Answer Type Question as classified in NCERT Exemplar

Sol:$\begin{array}{l}\begin{array}{l}\begin{array}{l}\begin{array}{l}\hfill \end{array}\end{array}\hfill \end{array}\end{array}$

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