Use a truth table to determine whether the argument is valid.
-$\begin{array}{l}
p \rightarrow \sim q \
q \rightarrow \sim p \
\hline p \vee q
\end{array}$

A) Valid
B) Invalid

Question

Use a truth table to determine whether the argument is valid.
-$\begin{array}{l}
p \rightarrow \sim q \
q \rightarrow \sim p \
\hline p \vee q
\end{array}$

A) Valid
B) Invalid

Quizplus · Accepted Answer

The argument is invalid because it's possible for both premises to be true while the conclusion is false. In a situation where both $p$ and $q$ are false, the premises $p \rightarrow \sim q$ and $q \rightarrow \sim p$ would both be true (since a false antecedent makes the implication true), but the conclusion $p \vee q$ would be false, showing that the argument does not hold in all cases.

Use a Truth Table to Determine Whether the Argument Is p→∼qq→∼pp∨q\begin{array}{l}p \rightarrow \sim q \\q \rightarrow \sim p \\\hline p \vee q\end{array}p→∼qq→∼pp∨q​​

Use a Truth Table to Determine Whether the Argument Is $\begin{array}{l}p \rightarrow \sim q \\q \rightarrow \sim p \\\hline p \vee q\end{array}$