Let A = {1, 2, 3, 5, 6, 10, 15, 30} and define R on A by xRy if and only if x divides y.
a. Show that (A, R) is a poset.
b. Draw the Hasse diagram of the poset.
c. Find any maximal and minimal element/s.
d. Find any greatest or least element/s.
e. Find glb({6, 10, 15}) if it exists.
f. Find lub({2, 3, 6}) if it exists.
