Show that the relation R in the set `{1,2,3}` given by `R = {(1,2), (2,1)` is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1,2,3} given by R = {(1,1) ,(2,2),(3,3) , (1,2) ., (2,3)} is reflexive but neither symmetric nor transitive.

Show that the relation R on the set A={1,2,3,4,5} given by R={(a,b):|a-b| is even} is an equivalence relation.

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.

Show that the relation R in the set A = {1,2,3,4,5} given by R = {(a,b) : |a-b| is even}, is an equivalence relation. Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1,3,5} is related to any element of {2,4}.

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

Prove that the relation is perpendicular to on the set L of all straight lines in a plane is symmetric but neither reflexive nor transitive on L.

Show that number of equivalence relation in the set {1,2,3} containing (1,2) and (2,1) is two.

Show that the relation is greater than on the set of real numbers RR is transitive but neither reflexive nor symmetric on RR .

Check whether the realtion R defined in the set {1,2,3,4,5,6} as R = {(a,b) : b =a +1} is reflexive, symmetric or transitive.