[R" is a redation on the set "2" of integers "],[" and "17" is given by "(x,y)in R<<|x-y|<=1" ,"],[" then "R" is "]

R is a relation on the set Z of integers and it is given by (x ,\ y) in RhArr|x-y|lt=1. Then, R is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

R is a relation on the set Z of integers and it is given by (x ,\ y) in RhArr|x-y|lt=1. Then, R is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

R is a relation over the set of integers and it is given by (x,y) in R iff |x-y| le 1 . Then R is :

R relation on the set Z of integers and it is given by (x,y)in R hArr|x-y|<=1 then ,R is

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 .

If R = {( x,y ) : x,y,in Z , x^2 + 3y^2 le 8} is a relation on the set of integers Z, then the domain R^(-1) is :

If R is a relation defined on the set Z of integers by the rule (x,y)in R hArr x^(2)+y^(2)=9, then write domain of R.

If R is a relation defined on the set Z of integers by the rule (x , y) in RhArrx^2+y^2=9, then write domain of R .

Let R be a relation on the set Z of all integers defined by:(x,y) in R implies(x-y) is divisible by n is eqivalence

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 iff x-y is divisible by n , is an equivalence relation on Z.