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I know how to construct a measurable set of a Cantor set that is not Borel but the example will be of the form $f^{-1}(E)$ is a subset of cantor set and is measurable (where $f$ is homeomorphism from Cantor set to a set of positive outer measure). So I would like an example of a measurable subset of the interval (say [10,100]), that is not a Borel set.

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