Question

If $p\to (\sim q\vee r)$ is false then the truth values of $p,q,r$ are

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

Answer 1

The correct option is A T, T, F

Given $p\to (\sim q\vee r)$ is false

$\Rightarrow (\sim q\vee r)$ is false and $p$ is true

$\Rightarrow q$ is true, $r$ is false and $p$ is true