1. Tardigrade
  2. Question
  3. Mathematics
  4. If p arrow (p ∧ ∼ q) is false, then the truth values of p and q are respectively:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

JEE MainJEE Main 2020Mathematical Reasoning

Solution:

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