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JEE Main202125 Feb 2021Morning ShiftMathematicsMathematical ReasoningActual

The statement A → B → A is equivalent to :

Options

  1. AA → A ∧ B
  2. BA → A ∨ B
  3. CA → A ↔ B
  4. DA → A → B

Correct answer

B. A → A ∨ B

Step-by-step solution

A → B → A ≡ A → ~ B ∨ A ≡ ~ A ∨ ~ B ∨ A ≡ ~ A ∨ A ∨ ~ B ≡ T ∨ ~ B ≡ T ∴   T ∨ B = T ≡ ~ A ∨ A ∨ B ≡ ~ A ∨ A ∨ B ≡ A → A ∨ B

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