I have a question from a test that I could not pass, I could not answer the question and I am looking for help with this question
This is the question
Will be $A\in NP$
Suppose that $A\notin CoNP$. determine which of the claims is correct:
- $P\neq NP$
- $NP \cap CoNP = \phi $
According to the data in the question, you need to choose the correct answer from the 4 possible answers.
I do not understand if there is any connection at all between the language A, and the answers themselves.
What I think is that A must only be in NP and it cannot be in P, because it is not in CoNP, and CoNP itself is in P.
But I do not find an answer that can fit it, maybe 3 is correct, but it has nothing to do with the question at all, it is always true.