For \(\alpha \in N\), consider a relation \(R\) on \(N\) given by \(R=\) \(\{(x, y): 3 x+\alpha ...

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For \(\alpha \in N\), consider a relation \(R\) on \(N\) given by \(R=\) \(\{(x, y): 3 x+\alpha y\) is a multiple of 7\(\}\). The relation \(R\) is an equivalence relation if and only if:
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