Question

Find the truth value of the statement: "If 2 is even, then 5 is prime."

• A. True
• B. False
• C. Cannot be determined
• D. None of these

Hint:

An implication is false only when a true statement leads to a false statement. Otherwise, it is always true.

Answer 1

The Correct Option is A

Concept: In logic, an implication \( p \Rightarrow q \) is false only when \( p \) is true and \( q \) is false. In all other cases, it is true.

Step 1: Identify the statements. \[ p: \text{2 is even (True)}, \quad q: \text{5 is prime (True)} \]

Step 2: Evaluate the implication. Since both \( p \) and \( q \) are true, the implication \( p \Rightarrow q \) is true. Final Answer: The statement is True.