Show that the relation \( R \) defined on the set \( A=\{1,2,3,4,5\...

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Show that the relation \( R \) defined on the set \( A=\{1,2,3,4,5\} \), given by \( R=\{(a, b):|a-b| \) is even \( \} \) is an equivalence relation.
\( \mathrm{P} \)
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