Note that this statement is not \(\neg(P \vee Q)\text{,}\) the negation belongs to \(P\) alone. Here is the truth table:
| \(P\) | \(Q\) | \(\neg P\) | \(\neg P \vee Q\) |
| T | T | F | T |
| T | F | F | F |
| F | T | T | T |
| F | F | T | T |
We added a column for \(\neg P\) to make filling out the last column easier. The entries in the \(\neg P\) column were determined by the entries in the \(P\) column. Then to fill in the final column, look only at the column for \(Q\) and the column for \(\neg P\) and use the rule for \(\vee\text{.}\)