Part 2: Consider the partial order with domain {3, .5, 6, 7, 10, 14, 20, 30, 60, 70} and with 2: g y if 2: evenly divides y. Select the correct Hasse diagram for the partial order. 60 70 30 2O 14 6 10 3 5 7 (a) Figure 2: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; I4; 20; 30; 60, 70. There are lines connecting 3 and 6, 6 and 30, 30 and. 60, 5 and 10, 10 and 20, 20 and 60, 10 and 70, 7 and. 14, 14 and 70. (b) 30 20 14 6 10 | | 3 5 7 Figure 3: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. There an: lines connecting 3 and! 6', 6' and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 and 60, 10 and 70, '7 and 14, 14 and 70. 60 70 30 20 14 6 10 3 5 7 (c) Figure 4: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 and 60, 20 and 70, 7 and 14, 14 and 70.60 70 30 20 14 6 10 7 (d) Figure 5: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 and 30, 20 and 60, 10 and 70, 7 and 14, 14 and 70.Part 1: The drawing below shows a. Hasse diagram for a partial order on the set: {A, B, C', D, E, F, G', H, I, J} Determine the properties of the Hesse diagram based on the following questions: D G (a) What are the minimal elements of the partial order? J C E (b) What are the maximal elements of the partial order? H (6) Which of the following pairs are comparable? B F (A, D)1 ('1th (B: E): (G: F), (D: B), (C, F), (H71)7(C: E) I A Figure 1: A Hasse diagram shows 10 vertices and 8 edges. The vertices, represented by dots, are as follows: vertex J is upward of vertex H; vertex H is upward of vertex I; vertex B is inclined upward to the left of vertex A; vertex 0 is upward of vertex B; vertex D is inclined upward to the right of vertex C; vertex E is inclined upward to the le of vertex F; vertex G is inclined upward to the right of vertex E. The edges, represented by line segments between the vertices are as follows: 3 vertical edges connect the following vertices: B and C, H and I, and H and J; 5 inclined edges connect the following vertices: A and B, C and D, D and E, E and F, and E and G