Determine whether the following binary relations are reflexive,symmetric, antisymmetric and transitive:

a. xRy xy 0 x, y in the setR

b. xRy x > y x, y in the set R

c. xRy |x| = |y|x, y in the set R

For each of the above, indicate whether it is an equivalence relation or a partialorder. If it is a partial order, indicate whether it is a total order. If it is anequivalence relation, describe its equivalence classes.