$p$ and $q$ are two logical statements. If $r: p \rightarrow(\sim p \vee q)$ has truth value false, then…
$p$ and $q$ are two logical statements.
If $r: p \rightarrow(\sim p \vee q)$ has truth value false, then truth values of $p$ and $q$ are respectively
- $\mathrm{T}, \mathrm{T}$
- $\mathrm{T}, \mathrm{F}$
- $\mathrm{F}, \mathrm{T}$
- F, F
Solution
$p \rightarrow(\sim p \vee q)$ is false
$\Rightarrow(p$ is true $)$ and $(\sim p \vee q)$ is false
$\Rightarrow p$ is true and $q$ is false
Asked in: MHT CET 2022 (10 Aug Shift 1)
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