Logic And Truth Table Review
Let p be "Nina" achool won the noccer champlonahlp" and let \( q \) be "Nina threw a party", reprosent each of the follow statemente using the logleal operatione of and ( C ), or (M), not ( - ), frithen ( \( \rightarrow \) ), if and only \( \mathrm{Wr}(\leftrightarrow \rightarrow) \) and excluative or (XOR).
1) Nina's school won the soccer championship If and only If Nina threw a party.
2) Nina's school did not win the soccer championship if and only if Nina threw a party.
3) Nina's school won the soccer championship if and only if Nina did not throw a party.
4) Nina's school did not win the soccer championship if and only if Nina did not throw a party.
Using the statements above, fill in the truth table with all possible combinations of \( p \) and \( q \).
\begin{tabular}{|c|c|c|c|c|c|}
\hline\( p \) & \( q \) & Statement 1 & Statement 2 & Statement 3 & Statement 4 \\
\hline & & & & & \\
\hline & & & & & \\
\hline & & & & & \\
\hline & & & & & \\
\hline & & & & & \\
\hline
\end{tabular}