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JEE Main20203 Sep 2020Morning ShiftMathematicsMathematical ReasoningActual

The proposition p → ~ p ∧ ~ q is equivalent to :

Options

  1. Aq
  2. B~ p ∨ q
  3. C~ p ∧ q
  4. D~ p ∨ ~ q

Correct answer

B. ~ p ∨ q

Step-by-step solution

~ p ∧ ~ q = ~ p ∨ ~ ~ q By De Morgan's Laws. = ~ p ∨ q

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