Advertisements
Advertisements
Question
Determine whether the following statement pattern is a tautology, contradiction, or contingency.
[(~p ∧ q) ∧ (q ∧ r)] ∨ (~q)
Sum
Advertisements
Solution
| p | q | r | ~p | ~q | ~p∧q | q∧r | (~p∧q)∧(q∧r) | [(~p∧q)∧(q∧r)]∨(~q) |
| T | T | T | F | F | F | T | F | F |
| T | T | F | F | F | F | F | F | F |
| T | F | T | F | T | F | F | F | T |
| T | F | F | F | T | F | F | F | T |
| F | T | T | T | F | T | T | T | T |
| F | T | F | T | F | T | F | F | F |
| F | F | T | T | T | F | F | F | T |
| F | F | F | T | T | F | F | F | T |
Truth values in the last column are not identical. Hence, it is contingency.
shaalaa.com
Notes
The answer in the textbook is incorrect.
Is there an error in this question or solution?
