Let S = (a, b, c, d, e, f, g} be ordered as in Fig. 14-11(a), and let X = {c, d, e}. (a) Find the upper and lower bounds of X. (b) Identify sup(X), the supremum of X, and inf (X), the infimum of X, if either exists. (a) X Fig. 14-11 Z (b) 10 8 Q3. Let S = {1, 2, 3, ..., 8) be ordered as in Fig. 14-11(b), and let A = {1,2,5} (a) Find the upper and lower bounds of A. (b) Identify sup(A) and inf (A) if either exists.