6. Since there are two statement variables, the truth table will have 4 rows.
| p | q | p L q | ~p | ~q | p L ~q | ~p V (p L ~q) | (p L q) V (~p V (p L ~q)) | ||
| T | T | T | F | F | F | F | T | ||
| T | F | F | F | T | T | T | T | ||
| F | T | F | T | F | F | T | T | ||
| F | F | F | T | T | F | T | T |
Since the final column contains only Ts, the statement (p L q) V (~p V (p L ~q)) is a tautology.