What is the negation of "x is odd and y is even"?

Question

I'm not sure if I find the correct answer to this question.

Using De Morgan's law;

¬(a∧b)=(¬a)∨(¬b)

so it becomes:

X is not odd OR Y is not even

or also we can say,

X is even OR Y is ODD.

Can somebody correct me if I'm wrong OR tell me if I'm right :)

Answer 1

You are right: for integers $X$ and $Y$ the negation is: $X$ is even or $Y$ is odd.

Answer 2

Well, not odd means even, and not even means odd. Hence, you're absolutely correct.^^