First slide

Introduction to mathematical reasoning

Question

Let p and q be two statements. If truth value of $p \to (~ p \lor q)$ is F, then truth values of p, q are respectively;

Moderate

A

$F, F$
B

$T, F$
C

$F, T$
D

$T, T$

Solution

As $p \to (~ p \lor q)$ has truth value F, p must be
$T$ and $~ p \lor q$ must be $F .$ As $~ p$ is $F, q$ must be F
Thus, truth values of p and q are respectively T and F.

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