Show that R={(x,y): 5 divides x-y} is an equivalence relation on Z

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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.
Prove that the relation R on the set Z of all integers defined by (x,y) ∈R ⇔ x-y is divisible by 5 Prove that the relation R on the set Z of all integers defined by (x,y) ∈R ⇔ x-y is divisible by 5
Show that the relation R on Z as R={(x,y): 5 divides x-y} is an equivalence relation Show that the relation R on Z as R={(x,y): 5 divides x-y} is an equivalence relation
Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation on Z. 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 R = {(x, y):(x – y) is divisible by 5} is an equ... Prove that the relation R on Z, defined by R = {(x, y):(x – y) is divisible by 5} is an equ...
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
Prove that R is an Equivalence Relation on Z: xRy if x + 3y is even Prove that R is an Equivalence Relation on Z: xRy if x + 3y is even
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