This document contains a truth table with 8 rows and 9 columns evaluating the truth values of 8 propositional logic statements under different variable assignments. The table shows that statements 1-7 are true (T) or false (F) according to the interpretations in each row, and statements 8-9 are logically related based on the truth values in the previous columns.

1. 1 2 3 4 5 6 7
p q r ¬r ¬p q v ¬r ¬p ^ q
V V V F F V F
V V F V F V F
V F V F F F F
V F F V F F F
F V V F V V V
F V F V V V V
F F V F V V F
F F F V V V F

2. 8 9
¬(q v ¬r) (¬p ^ q) → ¬(q v ¬r)
F V
F V
V V
V V
F F
F F
F V
F V