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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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 `(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
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 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...
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 n be positive integer.Prove that R on set Z given by (x-y) is divisible by n,is an equ. relation Let n be positive integer.Prove that R on set Z given by (x-y) is divisible by n,is an equ. relation
Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation o... Let R ={(a, b):a,b in Z and (a-b) is divisible by 5 }. Show that R is an equivalence relation o...