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Let p , q and r be three statements, then ~ p → q → r is equivalent to

Options

  1. A~ p ∨ r ∧ q ∨ r
  2. Bp → r ∧ q → r
  3. C~ p ∧ r ∨ q ∨ r
  4. Dp → q → r

Correct answer

B. p → r ∧ q → r

Step-by-step solution

~ p → q → r ≡ p ∨ q → r ≡ ~ p ∨ q ∨ r ≡ ~ p ∧ ~ q ∨ r ≡ ~ p ∨ r ∧ ~ q ∨ r ≡ p → r ∧ q → r

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