check2 TRUE
| p ∧ (q ∨ r) | ||
 | (p ∧ q) ∨ (p ∧ r) |
Truth check table
| Case | p | q | r | p ∧ (q ∨ r) | (p ∧ q) ∨ (p ∧ r) |
|---|---|---|---|---|---|
| 1 | T | T | T | T | T |
| 2 | T | T | F | T | T |
| 3 | T | F | T | T | T |
| 4 | T | F | F | F | F |
| 5 | F | T | T | F | F |
| 6 | F | T | F | F | F |
| 7 | F | F | T | F | F |
| 8 | F | F | F | F | F |
Public: Yes;
Show truth table: Yes;
| p ∧ (q ∨ r) | ||
| (p ∧ q) ∨ (p ∧ r) |
| Case | p | q | r | p ∧ (q ∨ r) | (p ∧ q) ∨ (p ∧ r) |
|---|---|---|---|---|---|
| 1 | T | T | T | T | T |
| 2 | T | T | F | T | T |
| 3 | T | F | T | T | T |
| 4 | T | F | F | F | F |
| 5 | F | T | T | F | F |
| 6 | F | T | F | F | F |
| 7 | F | F | T | F | F |
| 8 | F | F | F | F | F |