Question: Suppose 1, 12,. . . is a sequence that contains every rational number. Let F = RU rK K=1 (a) Show that F is a

Suppose 1, 12,. . . is a sequence that contains every rational number. Let F = R\\U rK K=1 (a) Show that F is a closed subset of R. (b) Prove that if I is an interval contained in F, then I contains at most one element. (c) Prove that | F| = co

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