Prove that the relation R on the set Z of all integers defined by (x,y) ∈R ⇔ x-y is divisible by 5

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Relation R in the set Z defined as R={(x, y):y=x-y is an integer} Reflexive, Symmetric, Transitive

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible b...

Prove that the relation R on Z, defined by R = {(x, y):(x – y) is divisible by 5} is an equ...

Let n be positive integer.Prove that R on set Z given by (x-y) is divisible by n,is an equ. relation

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

Let R be a relation on the set Z of all integers defined as (x, y) ∈ R ⇔ x-y is divisible by 2 . ...

show that the relation R on the set Z of all integers defined as R={(x, y): x-y is an integer } is a

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