Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation o...

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Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation on Z.

Prove that the relation R on Z defined by (a, b) ∈ R ⇔ a - b is divisible by 5 is an equivalence rel

Prove that the relation R on Z defined by (a,b)∈R⟺a-b is divisible by 5 is an equivalence relation..

Let R be the equivalence relation in the set A={0, 1, 2, 3, 4, 5} given by R={(a, b):2 divides (a−b)

"Prove that the relation `R` on `Z` defined by `(a ,\ b) in RhArr` `a-b` is divisible by 5 is an

#13. Let m be a given fixed positive integer. Let R={(a,b):a,b ∈ Z and a-b is divisible by m}. •••••

Question Prove that relation a-b divisible by 5 is equivalence relation, Vid 20

#29. On the set Z of all integers, consider the relation R={(a,b):(a-b) is divisible by 3}. Show •••