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The equivalent form of the statement ~(p → ~ q) is ______. -

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Question

The equivalent form of the statement ~(p → ~ q) is ______.

Options

  • p ∧ q

  • p ∧ ~ q

  • p ∨ ~ q

  • ~ p ∨ q

MCQ

Solution

The equivalent form of the statement ~(p → ~ q) is p ∧ q.

Explanation:

Given statement ~(p → ~ q) ≡ ~ (~ p ∨ ~ q) ≡ p ∧ q

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