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Question: Answered & Verified by Expert
If $p \Rightarrow(\sim p \vee q)$ is false, the truth value of $\mathrm{p}$ and $\mathrm{q}$ are respectively
MathematicsMathematical ReasoningVITEEEVITEEE 2009
Options:
  • A $\mathrm{F}, \mathrm{T}$
  • B $\mathrm{F}, \mathrm{F}$
  • C $\mathrm{T}, \mathrm{F}$
  • D $\mathrm{T}, \mathrm{T}$
Solution:
2487 Upvotes Verified Answer
The correct answer is: $\mathrm{T}, \mathrm{F}$
$p \Rightarrow(\sim p \vee q)$ is false means $p$ is true and $\sim p \vee q$ is false.
$\Rightarrow p$ is true and both $\sim p$ and $q$ are false.
$\Rightarrow p$ is true and $q$ is false.

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