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JEE Main201912 Jan 2019Evening ShiftMathematicsMathematical ReasoningActual

The expression ~ ~ p → q is logically equivalent to

Options

  1. Ap ∧ ~ q
  2. B~ p ∧ ~ q
  3. Cp ∧ q
  4. D~ p ∧ q

Correct answer

B. ~ p ∧ ~ q

Step-by-step solution

We know that ~ p → q = p ∧ ~ q . Hence, the expression ~ ~ p → q is logically equivalent to ~ p ∧ ~ q .

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