6) Answer these questions for the poset ({2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72}, |}. Are the answers correct?

(a) Find the maximal elements.

27, 48, 60, 72

(b) Find the minimal elements.

2, 9

(c) Is there a greatest element?

No.

(d) Is there a least element?

No.

(e) Find all upper bounds of {2, 9}.

18, 36, 72

(f) Find the least upper bound of {2, 9}, if it exists.

18

(g) Find all lower bounds of {60, 72}.

2,4,6,12

(h) Find the greatest lower bound of {60, 72}, if it exists.

12

Can some teach me how to draw Hasse diagram! ---Got it!!! yeah