Question

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

A) ~P: x is not an even number

B) P: ~x is an even number

C) P: ~x is not an even number

D) ~P: x is an even number

Question 888: Process Improve

Answer 1

The negation of the statement 'x is an even number' is 'x is not an even number', making option A the correct choice.

Step-by-step explanation:

The correct negation of the statement P: 'x is an even number' would be ~P: 'x is not an even number'. The negation of a statement is the opposite of the original statement. If a statement is affirming that something is true, the negation denies it.

Hence, the right answer is option A, which states that the negation of 'x is an even number' is 'x is not an even number'. This means if x was originally described as being even, the negation would describe x as not being even—which could mean x is odd or not a number at all if the context allows for that.