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Sep 1, 2011 at 23:57 comment added Yemon Choi Your interpretation of density is not correct -- $\{\sqrt{2}\}$ is a non-empty subset of the reals which contains no rationals. If you read the question as part of a course, then hopefully it should have been made clear earlier what definition of density is being used (see the link in David White's answer).
Sep 1, 2011 at 23:55 history closed François G. Dorais too localized
Sep 1, 2011 at 23:55 comment added François G. Dorais I'm closing this because the answer is very easy to find using the canonical search - en.wikipedia.org/wiki/Density_(disambiguation)
Sep 1, 2011 at 23:55 answer added David White timeline score: 1
Sep 1, 2011 at 23:51 history asked Raj CC BY-SA 3.0