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Check whether the relation R defined in ...

Check whether the relation R defined in the set {1,2,3,4,5,6} as R{(a,b): b=a+1)} is reflecxive or symmetric.

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