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Which of the following is logically equivalent to ~ ( ~ p ⇒ q ) ?

Options

  1. Ap ∧ q
  2. Bp ∧ ~ q
  3. C~ p ∧ q
  4. D~ p ∧ ~ q

Correct answer

D. ~ p ∧ ~ q

Step-by-step solution

Since, ~ ( p ⇒ q ) ≡ p ∧ ~ q ~ ( ~ p ⇒ q ) ≡ ~ p ∧ ~ q

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