Prove that the relation R on Z defined by (a,b)∈R⟺a-b 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
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
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.
Determine whether R on Z defined by (a, b)∈R ⟺| a-b |≤5 is reflexive , symmetric and transitive Determine whether R on Z defined by (a, b)∈R ⟺| a-b |≤5 is reflexive , symmetric and transitive
"Prove that the relation `R` on `Z` defined by `(a ,\ b) in RhArr` `a-b` is divisible by 5 is an "Prove that the relation `R` on `Z` defined by `(a ,\ b) in RhArr` `a-b` is divisible by 5 is an
Show that the relation R defined by R = {(a, b): a -b is divisible by 3; a, b ∈ Z} is an equivalence Show that the relation R defined by R = {(a, b): a -b is divisible by 3; a, b ∈ Z} is an equivalence
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...
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