Question

What's is the converse of the statement?If x is odd, then 2x is even.

Answer 1

If you have two statements p and q and $p\Rightarrow q$ is true, then  $\neg q\Rightarrow \neg p$ is also true.

In your case, statements are p - "x is odd" and q -  "2x is even".

 Then $\neg p$ - "x is not odd" and $\neg q$ - "2x is not even."


Hence $\neg q\Rightarrow \neg p$ sounds as: "If 2x is not even, then x is not odd".
Answer: correct choice is D.