Let X = {c, v, s, m} be a set of choices (representing chocolate, vanilla, strawberry, and mint ice cream). Determine whether each preference set shown below is transitive, and show your work. (a) v > m, m > c, c > s, s > v, s | m, c | v (b) s > v, s | c, c > m, s > m, v | m, c > v