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JEE Main201912 Apr 2019Evening ShiftMathematicsMathematical ReasoningActual

The Boolean expression ∼ p ⇒ ∼ q is equivalent to

Options

  1. A( ∼ p ) ⇒ q
  2. Bq ⇒ ∼ p
  3. Cp ∨ q
  4. Dp ∧ q

Correct answer

D. p ∧ q

Step-by-step solution

Recall p ⇒ q ≡ ~ p ∨ q ∼ p ⇒ ∼ q = ∼ ∼ p ∨ ∼ q = p ∧ q

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