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

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Question

Which of the following is logically equivalent to `∼(∼p \implies q)`?

Options

  • p ∧ q

  • p ∧ ∼ q

  • ∼ p ∧ q

  • ∼ p ∧ ∼ q

MCQ

Solution

∼ p ∧ ∼ q

Explanation:

Since `∼(∼p \implies q) ≡ p  ∧ ∼ q`

`∼(∼p \implies q) = ∼ p  ∧ ∼ q`

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