Which of the following gives the correct negation of the statement

Question

Which of the following gives the correct negation of the statement "P: x is an even number"?

	A)	∼P: x is an even number.
B)	P: ∼x is an even number.
C)	P: ∼x is not an even number.
D)	∼P: x is not an even number.

Answer 1

Negation means the statement is not true from the conditional statement.

Conditional: P: x is an even number.

Negation: ~P: x is an odd number or x is not an even number.

Therefore, the correct answer is Choice D.