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The statement p ⇒ q ∧ p is negation of the statement

Options

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

Correct answer

C. ~ p ⇒ q

Step-by-step solution

∵ ~ s ⇒ t ≡ s ∧ ~ t ∵ ~ p ⇒ q ∧ p ≡ p ∧ ~ q ∧ p ≡ p ∧ ~ q ∨ ~ p ≡ p ∧ ~ q ∨ p ∧ ~ p ≡ p ∧ ~ p ∨ f ≡ p ∧ ~ q ≡ ~ p ⇒ q

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