Use truth tables to test the validity of the argument.
-$\begin{array} { l }
\mathrm { p } \vee \mathrm { q } \
\mathrm { q } \
\hline\mathrm { p }
\end{array}$

A) Invalid
B) Valid

Question

Use truth tables to test the validity of the argument.
-$\begin{array} { l } 
\mathrm { p } \vee \mathrm { q } \
 \mathrm { q }  \
\hline\mathrm { p } 
\end{array}$

A) Invalid
B) Valid

Quizplus · Accepted Answer

The argument is invalid because the conclusion $p$ does not logically follow from the premises $p \vee q$ and $q$. Even if $q$ is true, $p$ can still be false, as $p \vee q$ only requires one of $p$ or $q$ to be true, not necessarily both.

Use Truth Tables to Test the Validity of the Argument p∨qqp\begin{array} { l } \mathrm { p } \vee \mathrm { q } \\ \mathrm { q } \\\hline\mathrm { p } \end{array}p∨qqp​​

Use Truth Tables to Test the Validity of the Argument $\begin{array} { l } \mathrm { p } \vee \mathrm { q } \\ \mathrm { q } \\\hline\mathrm { p } \end{array}$