S = {1, 2,3,6,7, 14, 21, 42}, defined R on S where (a, b) € R if a divides b, and obtained the following relations diagram: (i) U 14 U (a) To convince you that the "divides" relation can have a different structure on a different set, let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10}, and define R on S where (a, b) € R if a divides b. Construct the relations diagram for R. 1) V (b) Now, we invite you to explore how differently the "divides" relations diagram may look by choosing a different set S. For this problem, come up with two distinct choices of S where the resulting "divides" relations diagram is "interesting". Of course, what's "interesting" is largely subjective! Below we give you two possible shapes for you inspiration. You can simply "solve" them by finding a suitably chosen S that would result in such a diagram, or dream up S's that result in other interesting relations diagrams. ย 42 →