2. For each of these relations on the set S = \{5,6,7,8\}, indicate if it is reflexive, symmetric,
antisymmetric, transitive on S. Also mention whether it is an equivalence relation or partial
order set on S.
(i) \{ (6,6), (6,7), (6,8), (7,6), (7,7), (7,8) \}
(ii) \{ (5,5), (5,6), (6,5), (6,6), (7,7), (8,8) \}
(iii) \{ (6,8), (8,6) \}
(iv) \{ (5,6), (6,7), (7,8) \}
(v) \{ (5,5), (6,6), (7,7), (8,8) \}
(vi) \{ (5,7), (5,8), (6,7), (6,8), (7,5), (7,8) \}
Answer:
