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## Homework Statement

I was wondering if we Let E be some set such that f

^{-1}(E) is measurable then so is f

^{-1}(E)

^{c}.

## Homework Equations

If the set A is measurable then so is its compliment.

## The Attempt at a Solution

I think the statement is true because f

^{-1}(E) is just a set and thus its compliment should also be measurable.

Thank you for your time.

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