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27 May, 21:25

Let

X = {5, 10, 15, 20, 25, 30, 35, 40}.

Define a relation

on X as follows. For

a, b is in X,

a

b

if b can be obtained from a by adding a (possibly empty) collection of dimes (10 cents) and quarters (25 cents). So, for example,

25

35, but 25

30.

List all minimal elements of

(X,

).

(Enter your answers as a comma-separated list.)

+5
Answers (1)
  1. 27 May, 21:33
    0
    Here is the answer in comma-separated list.

    (5, 10), (10,15), (15, 20) (20, 25) (25, 300 (30, 35)

    You need 5 dimes while having 10 or 25
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