Answer these questions for the poset ({3, 5, 9, 15, 24, 45}, |).
a) Find the maximal elements.
b) Find the minimal elements.
c) Is there a greatest element?
d) Is there a least element?
e) Find all upper bounds of {3, 5}.
f) Find the least upper bound of {3, 5}, if it exists.
g) Find all lower bounds of {15, 45}.
h) Find the greatest lower bound of {15, 45}, if it exists.