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For how many integers n is it true that \(\sqrt{n} \le \sqrt{4n - 6} < \sqrt{2n + 5}\)

 Mar 31, 2020
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  1. Hi, I saw your question and wanted to try it. I suggest looking at a pair at a time. For example, trying evaluating \(\sqrt n<\sqrt {4n-6}\) first and see what you get. You'll get a few inequalities that will give you an answer. And, obviously, \(n\) must be nonnegative.
 Mar 31, 2020
edited by Impasta  Mar 31, 2020

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