Consider a propositional language where P: x is a prime number. Q: x is odd. Which of the following is equivalent to the implication P→ Q ? 1. x being prime is a sufficient condition for x being odd. II. x being prime is a necessary condition for x being odd. III. x being odd is a necessary condition for x being prime. IV. x being odd is a sufficient condition for x being prime. O I and III O II and IV O II and IV O I and IV

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