" The relation "R" defined in "N" as "aRb hArr b" is divisible by a is "

The relation R defined in N as aRbimpliesb is divisible by a is

The relation R defined in N as aRbimpliesb is divisible by a is

The relation R defined in N as aRbimpliesb is divisible by a is

The relation R defined in N as aRbimpliesb is divisible by a is

The relation R defined in N as aRbimpliesb is divisible by a is

Prove that the relation R on Z defined by (a,b)in R hArr a-b is divisible by 5 is an equivalence relation on Z .

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

Show that the relation R defined by : R = (a,b) : a-b is divisible by 3 a,b in N is an equivalence relation.