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Let u be lebesgue measure. Let C be the cantor set. Let Q the set of...

Let u be lebesgue measure.

Let C be the cantor set.

Let Q the set of rational and QC be the set of irrationals on the real line.

1) What is the lebesgue measure of C ∩ Q and C ∩ QC. In other words find u(C ∩ Q) and u(C ∩ QC)?

2) What is u([0, 1] - C)?

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