Question

Construct a truth table for the given statement. Identify whether the statement is a tautology.\\ $(\neg q \to \neg p) \to (q \lor p)$\\Construct a truth table.\ $\begin{array}{|c|c|c|c|} \hline p & q & (\neg q \to \neg p) & (q \lor p) \\ \hline T & T & & \\ \hline T & F & & \\ \hline F & T & & \\ \hline F & F & & \\ \hline \end{array}$Is the statement a tautology?\nA. The statement is not a tautology, since it is false for all combinations of truth values of the components.\ B. The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.\ C. The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true.\ D. The statement is a tautology, since it is true for all combinations of truth values of the components.

          Construct a truth table for the given statement. Identify whether the statement is a tautology.\\
$(\neg q \to \neg p) \to (q \lor p)$\\Construct a truth table.\
$\begin{array}{|c|c|c|c|}
\hline
p & q & (\neg q \to \neg p) & (q \lor p) \\
\hline
T & T &  &  \\
\hline
T & F &  &  \\
\hline
F & T &  &  \\
\hline
F & F &  &  \\
\hline
\end{array}$Is the statement a tautology?\nA. The statement is not a tautology, since it is false for all combinations of truth values of the components.\
B. The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.\
C. The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true.\
D. The statement is a tautology, since it is true for all combinations of truth values of the components.

Construct a truth table for the given statement. Identify whether the statement is a tautology.

( q → p) → (q p)
Construct a truth table.p q ( q → p) (q p)

T T

T F

F T

F FIs the statement a tautology?. The statement is not a tautology, since it is false for all combinations of truth values of the components.B. The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.C. The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true.D. The statement is a tautology, since it is true for all combinations of truth values of the components.

Added by Victoria C.

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