Show that the relation \( \mathrm{R} \) in the set \( \mathrm{A}=\{...

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Show that the relation \( \mathrm{R} \) in the set \( \mathrm{A}=\{1,2,3,4,5\} \) given by \( \mathrm{R}=\{(\mathrm{a}, \mathrm{b}):|\mathrm{a}-\mathrm{b}| \) is divisible by 2\( \} \) is an equivalence relation. Write all the equivalence classes of \( R \).
\( \mathrm{P} \)
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