Consider part (a) of Example 9.17. (a) Determine the differences for the inequalities that result from the

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Consider part (a) of Example 9.17.
(a) Determine the differences for the inequalities that result from the subset {3, 6, 8, 15} of S, and verify that those differences add to the correct sum.
(b) Find the subset of S that determines the differences 2, 2, 3, 7, and 0.
(c) Find the subset of S that determines the differences a, b, c, d, and e, where 0 < a,e, and 2 < b, c, d.
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