Determine the validity of the following argument.
$\begin{array} { c }
\sim p \rightarrow q \
q \rightarrow \sim r \
\hline \therefore \sim p \rightarrow \sim r
\end{array}$
A) Invalid
B) Valid

Question

Determine the validity of the following argument.
$\begin{array} { c } 
\sim p \rightarrow q \
q \rightarrow \sim r \
\hline \therefore \sim p \rightarrow \sim r
\end{array}$
A) Invalid
B) Valid

Quizplus · Accepted Answer

The argument is valid because it follows the transitive property of implications: if $\sim p \rightarrow q$ and $q \rightarrow \sim r$, then $\sim p \rightarrow \sim r$.

Determine the Validity of the Following Argument ∼p→qq→∼r∴∼p→∼r\begin{array} { c } \sim p \rightarrow q \\q \rightarrow \sim r \\\hline \therefore \sim p \rightarrow \sim r\end{array}∼p→qq→∼r∴∼p→∼r​​

Determine the Validity of the Following Argument $\begin{array} { c } \sim p \rightarrow q \\q \rightarrow \sim r \\\hline \therefore \sim p \rightarrow \sim r\end{array}$