The relation R on Z , defined by R = {(x,y):(x-y) is divisible by 5 } is an equivalence relation.

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the relation R on Z, defined by R = {(x, y) : (x - y) is divisible by 5} is an equivalence relation the relation R on Z, defined by R = {(x, y) : (x - y) is divisible by 5} is an equivalence relation
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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 rel
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Prove that the relation R on Z defined by (a,b)∈R⟺a-b is divisible by 5 is an equivalence relation.. Prove that the relation R on Z defined by (a,b)∈R⟺a-b is divisible by 5 is an equivalence relation..
Show that R={(x,y): 5 divides x-y} is an equivalence relation on Z Show that R={(x,y): 5 divides x-y} is an equivalence relation on Z