The answer to exercises marked [BB] can be found in the Back of the Book.
Let S be the set of all real numbers in the interval (0, 1) whose decimal expansions are infinite and contain only 3 and 4, for example, 0.343434 ‖ and 0.333‖, but not 0.34 = 0.34000‖. Prove that S is uncountable.
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