Question

If the truth value of the statement $P \to ( \sim p \vee r)$ is false(F), then the truth values of the statements $p, q, r$ are respectively :

• A. F, T, T
• B. T, F, F
• C. T, T, F
• D. T, F, T

Answer 1

Answer: (C)

T, T, F

Answer 2

$P \to (\sim q \vee r)$
$\sim p \vee (\sim q \vee r)$
$\left.\begin{aligned} \sim p \to F \\\ \sim q \to F \\\ r \to F \end{aligned}\right\rbrace \Rightarrow \left.\begin{aligned} p \to T \\\ q \to T \\\ r \to F \end{aligned}\right\rbrace$