Let \( n \) be a positive integer and \( R=\{(a, b) \in \mathbb{Z} \times \mathbb{Z}|a-b|=n m \)....

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Let \( n \) be a positive integer and
\( R=\{(a, b) \in \mathbb{Z} \times \mathbb{Z}|a-b|=n m \) for some
\( \mathrm{P} \)
\( 0 \neq \mathrm{m} \in \mathbb{Z}\} \) Then \( R \) is
(1) Reflexive on \( \mathbb{Z} \)
(2) Symmetric
(3) Transitive
(4) Equivalence relation on \( \mathbb{Z} \)


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