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The contrapositive of ( p ∨ q ) ⇒ r is

Options

  1. Ar ⇒ ( p ∨ q )
  2. B~ r ⇒ ( p ∨ q )
  3. C~ r ⇒ ~ p ∧ ~ q
  4. Dp ⇒ ( q ∨ r )

Correct answer

C. ~ r ⇒ ~ p ∧ ~ q

Step-by-step solution

Contrapositive of p ⇒ q is ~ q ⇒ ~ p ∴contrapositive of ( p ∨ q ) ⇒ r is ~ r ⇒ ~ ( p ∨ q ) i.e. ~ r ⇒ ( ~ p ∧ ~ q ) .

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