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I just need some clarification as to what this terminology means in this situation.

A decision problem for $FACTORING$ is as follows.
INPUT: an integer $n$ and a integer $d$
QUESTION: does $n$ have a prime factor less than $d$?

How would $¬FACTORING$ change the question?

Would it change the question to: does $n$ not have a prime factor less than $d$?
Or does $n$ have a prime factor greater than $d$?

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up vote 3 down vote accepted

What is the complement of the statement "I am wearing a red shirt"? Is it "I am wearing a green shirt"? Or it is "I am not wearing a red shirt"?

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