Get expert insights and community support for your questions on IDNLearn.com. Whether it's a simple query or a complex problem, our experts have the answers you need.
Sagot :
To complete the truth table for the inverse of a conditional statement, we need to determine the values for [tex]\(\neg p \rightarrow \neg q\)[/tex] for each combination of [tex]\(p\)[/tex] and [tex]\(q\)[/tex].
\begin{tabular}{|c||c||c|c|}
\hline [tex]$p$[/tex] & [tex]$q$[/tex] & [tex]$p \rightarrow q$[/tex] & [tex]$\sim p \rightarrow \sim q$[/tex] \\
\hline \hline [tex]$T$[/tex] & [tex]$T$[/tex] & [tex]$T$[/tex] & F \\
\hline \hline [tex]$T$[/tex] & [tex]$F$[/tex] & [tex]$F$[/tex] & T \\
\hline \hline [tex]$F$[/tex] & [tex]$T$[/tex] & [tex]$T$[/tex] & T \\
\hline \hline [tex]$F$[/tex] & [tex]$F$[/tex] & [tex]$T$[/tex] & T \\
\hline
\end{tabular}
\begin{tabular}{|c||c||c|c|}
\hline [tex]$p$[/tex] & [tex]$q$[/tex] & [tex]$p \rightarrow q$[/tex] & [tex]$\sim p \rightarrow \sim q$[/tex] \\
\hline \hline [tex]$T$[/tex] & [tex]$T$[/tex] & [tex]$T$[/tex] & F \\
\hline \hline [tex]$T$[/tex] & [tex]$F$[/tex] & [tex]$F$[/tex] & T \\
\hline \hline [tex]$F$[/tex] & [tex]$T$[/tex] & [tex]$T$[/tex] & T \\
\hline \hline [tex]$F$[/tex] & [tex]$F$[/tex] & [tex]$T$[/tex] & T \\
\hline
\end{tabular}
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.