Mathematics · Mathematical Reasoning

Let F1(A, B, C) = (A ∧ ~B) ∨ [~C ∧ (A ∨ B)] ∨ ~A and F2(A, B) = (A ∨ B) ∨ (B → A) be two logical expressions. Then:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1Both F1 and F2 are tautologies
2Both F1 and F2 are not tautologies
3F1 is not a tautology but F2 is a tautology✓
4F1 is a tautology but F2 is not a tautology

Correct answer

F1 is not a tautology but F2 is a tautology

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Let F1(A, B, C) = (A ∧ ~B) ∨ [~C ∧ (A ∨ B)] ∨ ~A and F2(A, B) = (A ∨ B) ∨ (B → A) be two logical expressions. Then:

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Let F1(A, B, C) = (A ∧ ~B) ∨ [~C ∧ (A ∨ B)] ∨ ~A and F2(A, B) = (A ∨ B) ∨ (B → A) be two logical expressions. Then:

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