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Simple measure theory questions (inverse image)

  • Thread starter EV33
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  • #1
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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.
 
Last edited:

Answers and Replies

  • #2
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Yeah that is correct.
 

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