Let `R={(a,b):a,b inN,agtb}.`
Show that R is a binary relation which is neither reflexive, nor symmetric.
Show that R is transitive.

Let R={(a,b):a,binN" and "altb}. Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive. Hint Since RsubNxxN , so it is a binary relation on N.

Give an example of a relation which is transitive but neither reflexive nor symmetric.

Give an example of a relation which is symmetric but neither reflexive nor transitive.

Let N be the set of all natural numbers. Let R={(a,b):a,b inN" and "2a+b=10} . Show that R is a binary relation on N. Find its domain, range and co-domain.

Let A=(1,2,3,4,5,6} and Let R={(a,b):a,b in A and B=a+1}. Show that R is (i) not reflexive (ii) not symmetric and (iii) not transititve .

Let R={(a,b):a,binN" and "a=b^(2)}, Show that R satisfies none of reflexivity, symmetry and transitivity.

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.

Let R={(a,b):a,b inZ" and "(a-b)" is even"}. Then, show that R is an equivalence relation on Z.

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

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