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For two statements p and q , the statement ~ ( p ∨ ( ~ q ) ) is equivalent to

Options

  1. A~ p ∨ q
  2. B~ p ∧ q
  3. C~ p ∨ ~ q
  4. D~ p ∧ ~ q

Correct answer

B. ~ p ∧ q

Step-by-step solution

~ ( p ∨ ( ~ q ) ) ≡ ~ p ∧ ~ ( ~ q ) ≡ ~ p ∧ q

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