Question

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

a. if x is not odd, then 2x is not evenB) if x is odd, then 2x is even
c. if 2x is even, then x is oddD) if 2x is not even, then x is not odd

Answer 1

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

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

Then
`\\eg p` - "x is not odd" and
`\\eg q` - "2x is not even."


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