Consider the relation R defined on a set A = {0, 1, 2, 3, 4, 5} as follows: R = {(0,0), (0,1), (0,2), (0,4), (1,3), (1,5), (1,4), (2,0), (2,2), (2,3), (2,5), (3,0), (3,1), (3,2), (3,3), (4,1), (4,2), (4,4), (4,5), (5,1), (5,2), (5,4), (5,5)}
(a) Is R reflexive? Justify your answer.
(b) Is R symmetric? Justify your answer.
(c) Is R transitive? Justify your answer.