Let `R` be a relation on the set `N` be defined by `{(x,y)|x,yepsilonN,2x+y=41}`. Then prove that the `R` is neither reflexive nor symmetric and nor transitive.

A relation R is defined on the set of natural numbers N as follows: R={(x,y)}|x,y in N and 2x+y=41} show that R is neither reflexive nor symmetric nor transitive.

A relation R is defined on the set of natural numbers N as follows: R={(x,y)|x,yinN " and " 2x+y=41} . Show that R is neither reflexive nor symmetric nor transitive.

Define a relation R on the set A ={a,b,c} which is neither reflexive nor symmetric and transitive.

Show that the relation R in the set R of real numbers, defined as R = {(a,b) : a le b ^(2)} is neither reflexive nor symmetric nor transitive.

Let A ={1,2,3} be a given set. Define a relation on A which is neither reflexive nor symmetric and transitive on A

Show that the relation R in the set R of real numbers, defined as R={(a ,b): alt=b^2} is neither reflexive nor symmetric nor transitive.

Let R be a relation on N N defined by R = {( x,y) :x+2y=8}. The range of R is { 1, lambda 3} find the value of lambda .

Let R be the relation defined on the set of natural numbers N as R {(x,y):x in N , y in N , 2x + y = 41) whether R is

A relation R is defined on the set of natural numbers NN as follows : R {(x,y) : x in NN and x is a multiple of y }. Prove that R is reflexive, antisymmetric and transitive but not symmetric on NN .

Let f:R rarr R defined by f(x)= x^2/(1+x^2) . Prove that f is neither injective nor surjective.