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WAEC Mathematics 2024 Objective — Question 16

Question 16 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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16. Consider the following statements: m: Edna is respectful; n: Edna is brilliant. If m ⟹ n, which of the following is valid?

  • A. ~m ⟹ ~n
  • B. n ⟹ ~m
  • C. ~n ⟹ ~mCorrect
  • D. n ⟹ m

Explanation

The contrapositive of m⟹n is ~n⟹~m, and a statement is always logically equivalent (valid) to its contrapositive.

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