Question

If the statement \( p \leftrightarrow (q \rightarrow p) \) is false, then the true statement is:

• A. \( p \)
• B. \( p \rightarrow (p \vee \sim q) \)
• C. \( p \wedge (\sim p q) \)
• D. \( (p \vee \sim q) \rightarrow p \)

Hint:

When analyzing logical biconditional statements, test various truth values for the components involved to identify when the statement becomes false. Then compare this to the given options.