Question

The false statement among the following is

• A. $p\wedge (\sim p)$ is a contradiction
• B. $(p\to q)\iff (\sim q\to \sim p)$ is a contradiction
• C. $\sim (\sim p)\iff p$ is a tautology
• D. $p\vee (\sim p)$ is a tautology

Answer 1

The correct option is B $(p\to q)\iff (\sim q\to \sim p)$ is a contradiction

$(p\Rightarrow q)\iff (\sim q\to \sim p)$ is tautology as $(\sim q\to \sim p)$ is contrapositive of $(p\Rightarrow q)$