Question

If $p\to \left(p\wedge \sim q\right)$ is false, then the truth values of p and q are respectively:

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

Answer 1

Answer: (D)

$p\to \left(p\wedge \sim q\right)$ is $F\Rightarrow p$ is $T\&p\wedge q$ is $F\Rightarrow q$ is $T$
$\therefore p$ is $T,q$ is $T$