~ p ∨ q ; r ∨ ~ q ; p ; s ∴ r ∨ s TRUE
| ~ p ∨ q | ||
| r ∨ ~ q | ||
| p | ||
| s | ||
 | r ∨ s |
0
Truth check table
| Case | p | q | r | s | ~ p ∨ q | r ∨ ~ q | r ∨ s |
|---|---|---|---|---|---|---|---|
| 1 | T | T | T | T | T | T | T |
| 2 | T | T | T | F | T | T | T |
| 3 | T | T | F | T | T | F | T |
| 4 | T | T | F | F | T | F | F |
| 5 | T | F | T | T | F | T | T |
| 6 | T | F | T | F | F | T | T |
| 7 | T | F | F | T | F | T | T |
| 8 | T | F | F | F | F | T | F |
| 9 | F | T | T | T | T | T | T |
| 10 | F | T | T | F | T | T | T |
| 11 | F | T | F | T | T | F | T |
| 12 | F | T | F | F | T | F | F |
| 13 | F | F | T | T | T | T | T |
| 14 | F | F | T | F | T | T | T |
| 15 | F | F | F | T | T | T | T |
| 16 | F | F | F | F | T | T | F |
Public: Yes;
Show truth table: Yes;