Let `n` be a fixed positive integer. Define a relation `R` on the set Z of integers by, `a R b iff n | a - b`. Then, R is not

Let n be a fixed positive integer.Define a relation R on the set Z of integers by,aRb hArr n|a-b. Then,R is not

Let n be a fixed positive integer. Define a relation R on Z as follows: (a , b)R a-b is divisible by ndot Show that R is an equivalence relation on Zdot

Let n be a fixed positive integer.Define a relation R on Z as follows: (a,b)in R hArr a-b is divisible by n .Show that R is an equivalence relation on Z .

Let 'n' be a fixed positive integer. A relation R on I is defined as a R b hArr n|(a-b) . Then R is (n|(a-b) means (a-b) , divisible by n with remainder 0)

Let n be a fixed positive integer.Let a relation R be defined on Z, as aRb if n is divisible by a-b, then relation R is (i)Reflexive (ii)Symmetric (iii)Transitive (iv) all of these

Let n be a positive integer.Prove that the relation R on the set Z of all integers numbers defined by (x,y)in R hArr x-y is divisible by n, is an equivalence relation on Z .

Let R be a relation on the set of integers given by aRb hArr a2^(k).b for some integer k. Then,R is