Let A = {0, 1, 2, 3}, and define a relation R₂ on A as follows: R₂ = {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3)}. (a) Which of the following is the directed graph of R₂? 0 (b) Is R2 reflexive? Justify your answer. Yes because when m = any integer ✓ then (m, m) E (c) Is R₂ symmetric? Justify your answer. Yes because 1, 2 V (1, R2 and ? ✓ 1 ? ✓ R2. (d) Is R2 transitive? Justify your answer. No because (0, 3 ✓ EV R2 and (1,?) ? R2, and ' ?v 2 ? R2. © } (N) Co