First slide

Introduction to mathematical reasoning

Question

If $p \to (~ p \lor q)$ is false, the truth value of $p$ and $q$ are respectively

Moderate

A

$T, T$
B

$T, F$
C

$F, T$
D

$F, F$

Solution

$p \to (~ p \lor q) is F if p = T and ~ p \lor q$
$= F or F \lor q = F or if q = F .$

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