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.)