Question

write the negation of the given proposition. then state the truth value of the original proposition and its negation.
february does not come after march.

write the negation of the proposition. choose the correct answer below.
a. february does come after march.
b. february does not come after january.
c. february does not come after march.
d. february does come after january.

the truth value of the given proposition is dropdown
the truth value of the negation is dropdown

false.
true.

Explanation:

Identify the negation of the proposition

The original proposition is: "February does not come after March."
The negation of a statement of the form "not \(P\)" is "\(P\)".
Therefore, the negation is: "February does come after March."

Determine the truth value of the original proposition

In the standard calendar, February comes before March, so February does not come after March.
Thus, the original proposition "February does not come after March" is true.

Determine the truth value of the negation

The negation is "February does come after March."
Since February comes before March, this statement is false.

Answer:

Question 1

• A. February does come after March. (Correct answer)
• B. February does not come after January.
• C. February does not come after March.
• D. February does come after January.

Question 2

The truth value of the given proposition is <blank>true</blank>.

Question 3

The truth value of the negation is <blank>false</blank>.