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Question: please prove fully and please be clear and do not...

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28. In this problem we will prove that 0.999999... (with 9s repeating forever) is equal to 1 (a) Let -0.999999 and let A-{1-10-n : n N). Explain why both a and 1 are upper bounds for this set. (b) Prove that there are no upper bounds for A that are less than a or 1. (Problem 23(b) might be helpful here.) (c) Explain why parts (a) and (b) prove that a 1.Please prove fully and PLEASE BE CLEAR and do not use sequences or limits. I just want to check my work. NO HAND WAVING.

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