Question: a. Draw the Hasse diagram for the partial ordering "x divides y" on the set 52, 3, 5, 7, 21, 42, 105, 2106. Name any least elements, minimal elements, greatest elements, and maximal elements. Name a totally ordered subset with four elements.
b. Draw the Hasse diagram for the partial ordering "x divides y" on the set 53, 6, 9, 18, 54, 72, 108, 1626. Name any least elements, minimal elements, greatest elements, and maximal elements. Name any unrelated elements.