Question

If the statement $p \leftrightarrow (q \rightarrow p)$ is false, then true statement/statement pattern is

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

Hint:

To solve problems involving logical statements, first determine the truth values of the basic propositions ($p, q$) that satisfy the given condition. Then, substitute these truth values into each option to find the one that results in a true statement. Remember the truth tables for conditional ($A \rightarrow B$ is false only if $A$ is true and $B$ is false) and biconditional ($A \leftrightarrow B$ is false if $A$ and $B$ have different truth values).

Answer 1

The Correct Option is B