Concept explainers
Nines. Would Cantor’s argument work if we used 2 and 9 instead of 2 and 4 as the digits? That is, for each digit we ask whether the digit is a 2. If it is 2, we make the analogous digit of M a 9, and otherwise we make the digit a 2. Using this method, we are not guaranteed that the number M we construct is not on our list. Provide a scenario in which the constructed number is on the list! (Hint: Remember from Chapter 2 that
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- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell