Check whether the relation R in the set R of real n umbers defined by : `R = { (a, b), a le b^3}` is reflexive, transitive or symmetric.

Show that the relation R in the set R of real number defined by R = {(a, b) : a le b }, is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real numbers defined as R = {(a, b) : a le b} , is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real numbers defined as R = ((a, b) : a le b} , is reflexive and transitive but not symmetric.

Prove that the relation in the set N of natural numbers defined as R = {(a,b) ≤ b} is reflexive and transitive but not symmetric.

Show that R= {(a, b): a ge b} is reflexive and transitive but not symmetric.

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 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 R of real number defined as R = {(a, b): a le b^2} is neither reflexive nor symmetric nor transitive.

Check whether the relation-R defined in the set of all real numbers as R={(a,b): a le b^(3)} is reflexive, symmetric or transitive.