(Solved): Let X = {2, 3, 4, 6, 9, 12, 27, 54}. Define a relation on X by aRb if and only if a divides b. We sh ...

Let X = {2, 3, 4, 6, 9, 12, 27, 54}. Define a relation on X by aRb if and only if a divides b. We showed that R is a partial order on X. An element M ∈ X is called maximal if M Rx implies M = x. An element m ∈ X is called minimal if xRm implies x = m. Find all the maximal and minimal elements of X.