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Question
(q v r) v (~ p v ~ q) is a ______.
Options
tautology
contingency
contradiction
neither tautology nor contradiction
MCQ
Fill in the Blanks
Solution
(q v r) v (~ p v ~ q) is a tautology.
Explanation:
| p | q | r | ~p | ~q | q v r | ~ p v ~ q | (q v r) v (~ p v ~ q) |
| T | T | T | F | F | T | F | T |
| T | T | F | F | F | T | F | T |
| T | F | T | F | T | T | T | T |
| T | F | F | F | T | F | T | T |
| F | T | T | T | F | T | T | T |
| F | T | F | T | F | T | T | T |
| F | F | T | T | T | T | T | T |
| F | F | F | T | T | F | T | T |
∴ Given statement is a tautology.
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Tautology, Contradiction, and Contingency
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