Suppose I have $0 < N - \varepsilon < q$ where $N$ is some large real number and $\varepsilon$ is much smaller than $N$. Can I conclude that $0 < N - \varepsilon < N < q$?
Determining when an inequality holds
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elementary-number-theory
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0@RossMillikan: when someone has only asked 5 questions, I don't think it's *that* unlikely none of the answers are acceptable... – 2012-09-17
2 Answers
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No. You have $0
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0Never mind. Thanks. – 2012-09-17
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Think about $0 < 100000 - 2 < 99999$ ...