A set containing a nonempty open interval

From: "Amanda" <sca18@xxxxxxxxxxx>
Date: 26 Aug 2005 07:52:35 -0700

Hello

I'd like some hints on how to prove that, if a set S has positive
Lebesgue measure, then (A + A)/2 = {(x + y)/2 | x and y are in A}
contains a non-empty open interval.
Thank you
Amanda

.

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