If `R = {(a,b) : a+b=4}` is a relation on N, then R is

If R = {(a,b) : a+b=4} is a relation on {1,2,3} , then R is

In a relation R = {(a, b) : b- a = 3} , b < 6 is defined on N, then :

Let N be the set of all natural numbers and R be a relation in N defined by : R = {(a, b) : a is a factor of b} Show that R is reflexive and transitive.

Let N be the set of all positive integers and R be a relation on N, defined by R = {(a,b): a is a factor of b), show that R is reflexive and transitive.

Let N be the set of all natural niumbers and let R be a relation in N , defined by R={(a,b):a" is a factor of b"}. then , show that R is reflexive and transitive but not symmetric .

Let R be a relation in a set N of natural numbers defined by R = {(a,b) = a is a mulatiple of b}. Then:

A relation R is defined from N to N as R ={(ab,a+b): a,b in N} . Is R a function from N to N ? Justify your answer.

A relation R is defined from N to N as R={(ab,a+b): a,b in N} . Is R a function from N to N ? Justify your answer.

A relation R is defined from N to N as R={(ab,a+b): a,b in N} . Is R a function from N to N ? Justify your answer.