Prove that the relation \( \mathrm{R} \) in the set \( \mathrm{A}=\{5,6,7,8,9\} \), given by \( ...

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Prove that the relation \( \mathrm{R} \) in the set \( \mathrm{A}=\{5,6,7,8,9\} \), given by \( \mathrm{R}=\{(a, b):|a-b| \) is divisible by 2\( \} \), is an equivalence relation. Find all elements related to element 6.
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