I need this answered

2. (5 pt., 2.5 pt. each) Represent each of the following relations using a matrix and a directed graph. a. R is a relation on the set { 1, 2, 3, 4} such that R = {(1, 2), (1,3), (1,4), (2, 3), (2, 4), (3,4). b. R is a relation on the set (1,2,3,4) such that (x. y) E R if and only if x + y >2. (5 pt., 2.5 pt. each) Find the transitive closure of each of the following relations on the set 3. 4. (10 pt., 5 pt. each) Draw a Hasse diagram for each of the following partial orders. Find the maximal and minimal elements and determine whether the partial order is a total order. R is a partial order on the set {2, 3, 5, 10, 11, 15, 25) such that (x,y) E R if and only if x divides y. a. b. Ris a partial order on the set (o, 1,2.3, 4, 5) such that (x. y) e R if and only if x 2 y