How should the formula in the right most column of this truth table be characterized? $\begin{array}{|l|l|l|l|l|l|l|l|l|l|l}
\hline&p&q&r&-p&(r \rightarrow p) &-(r \rightarrow p) &(-p \rightarrow r) &(-(r \rightarrow p)v(-p \rightarrow r)) &((-(r \rightarrow p)v(-p \rightarrow r))vq)\
\hline 1&T&T&T&F&T&F&T&T&T\
\hline 2&T & T & F & F & T & F & T & T & T \
\hline 3&T & F & T & F & T & F & T & T & T \
\hline 4&T & F & F & F & T & F & T & T & T \
\hline 5&F & T & T & T & F & T & T & T & T \
\hline 6&F & T & F & T & T & F & F & F & T \
\hline 7&F&F&T&T&F&T&T&T&T \
\hline 8&F&F&F&T&T&F&F&F&F\
\hline
\end{array}$
A) Tautology
B) Inconsistent
C) Disjunction
D) Conditional
E) Double Negation

Question

How should the formula in the right most column of this truth table be characterized? $\begin{array}{|l|l|l|l|l|l|l|l|l|l|l}
\hline&p&q&r&-p&(r \rightarrow p) &-(r \rightarrow p) &(-p \rightarrow r) &(-(r \rightarrow p)v(-p \rightarrow r)) &((-(r \rightarrow p)v(-p \rightarrow r))vq)\
\hline 1&T&T&T&F&T&F&T&T&T\
\hline 2&T & T & F & F & T & F & T & T & T \
\hline 3&T & F & T & F & T & F & T & T & T \
\hline 4&T & F & F & F & T & F & T & T & T \
\hline 5&F & T & T & T & F & T & T & T & T \
\hline 6&F & T & F & T & T & F & F & F & T \
\hline 7&F&F&T&T&F&T&T&T&T \
\hline 8&F&F&F&T&T&F&F&F&F\
\hline 
\end{array}$
A) Tautology
B) Inconsistent
C) Disjunction
D) Conditional
E) Double Negation

Quizplus · Accepted Answer

The Answer of How should the formula in the right most column of this truth table be characterized? $\begin{array}{|l|l|l|l|l|l|l|l|l|l|l}
\hline&p&q&r&-p&(r \rightarrow p) &-(r \rightarrow p) &(-p \rightarrow r) &(-(r \rightarrow p)v(-p \rightarrow r)) &((-(r \rightarrow p)v(-p \rightarrow r))vq)\
\hline 1&T&T&T&F&T&F&T&T&T\
\hline 2&T & T & F & F & T & F & T & T & T \
\hline 3&T & F & T & F & T & F & T & T & T \
\hline 4&T & F & F & F & T & F & T & T & T \
\hline 5&F & T & T & T & F & T & T & T & T \
\hline 6&F & T & F & T & T & F & F & F & T \
\hline 7&F&F&T&T&F&T&T&T&T \
\hline 8&F&F&F&T&T&F&F&F&F\
\hline 
\end{array}$
A) Tautology
B) Inconsistent
C) Disjunction
D) Conditional
E) Double Negation

How Should the Formula in the Right Most Column of This