# Answer to Question #14681 in Calculus for Tony

Question #14681

Find the subset of R that is open, dense everywhere and its complement has a positive measure.

Expert's answer

Let A be a Cantor Set with positive measure on [0, 1].

Let B be the complement of A.

Then B is dense on R and open set,

and its complement has a positive measure.

Let B be the complement of A.

Then B is dense on R and open set,

and its complement has a positive measure.

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