5
QuizMultiple Choice

Compound Statements

Question 5 • FL-1206310-Geometry A - Flex

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”Which represents p ∧ q?

Answer
A
He is wearing a coat or the temperature is below 30°F.
B
He is wearing a coat and the temperature is below 30°F.
C
If he is wearing a coat, then the temperature is below 30°F.
D
If he is not wearing a coat, then the temperature is not below 30°F.

Explanation

The biconditional statement identifies p as “He is wearing a coat” and q as “the temperature is below 30°F.” The symbol ∧ means “and,” so p ∧ q is “He is wearing a coat and the temperature is below 30°F.”

AI-written and checked against the verified answer.

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