a. Check the differentiability Of the lexicographic preferences in b. Assume that is monotonic, differentiable, in addition for every the (the Set Of directions) is to the Set + d) (the Set Of Changes). What Can you Say about Z ? c. Assume that is a monotonic, Convex, and preference relation. [At = {d E there exists > that for that d E C but not necessarily d. Consider the preferences defined by (K = 2): Show that these are not continuous but nevertheless are dif according to our definition.