Question

Which of the following is the contrapositive of the statement: "If it is Independence Day in the United States, then it is the Fourth of July"?

A) If it is not the Fourth of July, then it is not Independence Day.
B) If it is not Independence Day, then it is not the Fourth of July.
C) If it is the Fourth of July, then it is Independence Day.
D) If it is the Fourth of July, then it is not Independence Day.

Answer 1

The contrapositive of the given statement is A) If it is not the Fourth of July, then it is not Independence Day, which switches and negates both the hypothesis and the conclusion of the original statement.

Step-by-step explanation:

The contrapositive of a conditional statement switches the hypothesis and the conclusion of the original statement and negates both. The original statement is "If it is Independence Day in the United States, then it is the Fourth of July." The contrapositive of this statement would be "If it is not the Fourth of July, then it is not Independence Day in the United States." Therefore, the correct answer is A) If it is not the Fourth of July, then it is not Independence Day.