Check whether relation `R = {(x, y): x le y^2, x, y in R}`, defined on set of real numbers R, is reflexive, symmetric and 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.

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

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

The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

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

Show that the relation R in the set R given by : R ={(x, y): x le y^2) is neither reflexive nor symmetric nor transitive.

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

Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) is reflexive, symmetric or transitive ?