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Classify the compound statement (p AND (NOT q)) AND ((NOT p) OR q):

1. a tautology
2. a contradiction
3. neither a tautology nor a contradiction
4. None of these

Correct answer: a contradiction

Solution

p AND NOT q requires p true and q false, but (NOT p OR q) then requires p false or q true - a direct conflict - so the statement is always false: a contradiction.

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