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 S in the set R of real numbers defined as S={(a,b): a, b in R and a le b^(3) } is neither reflexive, nor symmetric, nor transitive.

Let Q be the set of rational number and R be the relation on Q defined by R={(x,y):x,y in Q , x^(2)+3y^(2)=4xy} check whether R is reflexive, 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.