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Prove that the relation R in the set A={...

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

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Here, `A = {5,6,7,8,9}`
Roaster form of Relation `R = { (5,5) , (6,6) , (7,7) , (8,8) , (9,9) , (5,7) , (5,9) , (6,8) , (7,9) , (7,5) , (9,5) , (8,6) , (9,7) }`
For all `x in R`,
`=> |x-x|=0` and `0` is divisible by `2`.
...
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