(D) The implication $p \to r$ is false if and only if $p$ is $T$ and $r$ is $F$. Here,$r = (\sim p \vee \sim q)$. For $r$ to be $F$,both $\sim p$ and

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(D) The implication $p \to r$ is false if and only if $p$ is $T$ and $r$ is $F$. Here,$r = (\sim p \vee \sim q)$. For $r$ to be $F$,both $\sim p$ and $\sim q$ must be $F$. This implies $p$ must be $T$ and $q$ must be $T$. Thus,the statement $p \to (\sim p \vee \sim q)$ is false when $p = T$ and $q = T$.

Class 11 Chemistry Data Entry - Chemistry Level 0 of all question bank

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

JEE MAIN 2018 All JEE MAIN

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

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

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