Answer :
To complete the truth table for the inverse of a conditional statement, we need to determine the truth values for the statement [tex]\(\sim p \rightarrow q\)[/tex].
Here's the complete truth table:
[tex]\[ \begin{array}{|c||c||c|c|} \hline P & q & p \rightarrow q & \sim p \rightarrow q \\ \hline T & T & T & T \\ \hline T & F & F & T \\ \hline F & T & T & T \\ \hline F & F & T & F \\ \hline \end{array} \][/tex]
Here's the complete truth table:
[tex]\[ \begin{array}{|c||c||c|c|} \hline P & q & p \rightarrow q & \sim p \rightarrow q \\ \hline T & T & T & T \\ \hline T & F & F & T \\ \hline F & T & T & T \\ \hline F & F & T & F \\ \hline \end{array} \][/tex]