The relation `R` on the set `N` of all natural numbers defined by `(x ,\ y) in RhArrx` divides `y ,` for all `x ,\ y in N` is transitive.

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

If R is a relation on N (set of all natural numbers) defined by n R m iff n divides m, then R is

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

A relation R on the set of natural number N N is defined as follows : (x,y) in R to (x-y) is divisible by 5 for all x,y in N N Prove that R is an equivalence relation on N N .

A relation R is defined on the set NN of natural number follows : (x,y) in R implies x divides y for all x,y in NN show that R is reflexive and transitive but not symmetric on NN .

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation 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 iff x-y is divisible by n , is an equivalence relation on Z.

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.

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.