# Simple measure theory questions (inverse image)

## 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.

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Yeah that is correct.