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(A ∨ ¬A) ∨ (q ∨ T) is a __________

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(A ∨ ¬A) ∨ (q ∨ T) is a __________

(a) Tautology

(b) Contradiction

(c) Contingency

(d) None of the mentioned

I got this question during an interview for a job.

This intriguing question comes from Logics topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Best answer
The correct option is (a) Tautology

Easy explanation: ≡ (A ∨ ¬A) ∨ (q ∨ T)

≡ T ∨ T ≡ T.

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