If (p ∧ ~q) ∧ (~q ∧ q) is(a) a contradiction(b) a tautolog – InterviewSolution

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1.

If (p ∧ ~q) ∧ (~q ∧ q) is(a) a contradiction(b) a tautology(c) neither a tautology nor a contradiction (d) both a tautology and a contradiction

Answer»

Correct option (a) a contradiction

Explanation:

(p ∧ ~q) ∧ (~p ∧ q) ≡ (p ∧ ~p) ∧ (~q ∧ q)

≡ (f ∧ f)

≡ f

(f → false)

(By using associative laws and commutative laws)

(p ∴ ~q) ∧ (~p ∧ q) is a contradiction.

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