QUESTION
Construct the truth table for the following statement pattern.
(p ∧ r) → (p ∨ ~q)
SOLUTION
p | q | r | ~q | p∧r | p∨~q | (p∧r)→(p∨~q) |
T | T | T | F | T | T | T |
T | T | F | F | F | T | T |
T | F | T | T | T | T | T |
T | F | F | T | F | T | T |
F | T | T | F | F | F | T |
F | T | F | F | F | F | T |
F | F | T | T | F | T | T |
F | F | F | T | F | T | T |
Construct the truth table for the following statement pattern.
(p ∧ r) → (p ∨ ~q)
p | q | r | ~q | p∧r | p∨~q | (p∧r)→(p∨~q) |
T | T | T | F | T | T | T |
T | T | F | F | F | T | T |
T | F | T | T | T | T | T |
T | F | F | T | F | T | T |
F | T | T | F | F | F | T |
F | T | F | F | F | F | T |
F | F | T | T | F | T | T |
F | F | F | T | F | T | T |