For each of the following partial orders, draw a Hasse diagram, find the maximal and minimal elements, and determine whether the partial order is a total order. a. Ris a partial order on set {2,4, 5,...

Extracted text: For each of the following partial orders, draw a Hasse diagram, find the maximal and minimal elements, and determine whether the partial order is a total order. a. Ris a partial order on set {2,4, 5, 7, 10, 25, 40} such that (x, y) E R if and only if x > y. b. R is a partial order on set {2,4,5, 7,10, 25, 40} such that (x, y) E R if and only if x is a multiple of y. Hint: An integer x is a multiple of an integer y if and only if x is divisible by y.