To answer this question, you need to understand the concept of the inverse of a statement. The inverse of a statement is formed by negating both the hypothesis and the conclusion of the original statement.
The original statement is "If it is snowing, then Skeeter wears a sweater."
Let's go through each option to understand why it is correct or incorrect:
Option A) If Skeeter wears a sweater, then it is snowing - This option is incorrect because it does not negate both the hypothesis and the conclusion of the original statement.
Option B) If Skeeter does not wear a sweater, then it is not snowing - This option is also incorrect because it does not negate both the hypothesis and the conclusion of the original statement.
Option C) If it is not snowing, then Skeeter does not wear a sweater - This option is correct because it negates both the hypothesis ("it is snowing") and the conclusion ("Skeeter wears a sweater") of the original statement.
Option D) If it is not snowing, then Skeeter wears a sweater - This option is incorrect because it does not negate the conclusion of the original statement.
The correct answer is Option C. This option is correct because it represents the inverse of the original statement by negating both the hypothesis and the conclusion.