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WAEC Mathematics 2024 Question 16

Question 16

Logic

Consider the following statements:
m: Edna is respectful
n: Edna is brilliant
If m ⇒ n, which of the following is valid?

  1. A.~m ⇒ ~n
  2. B.n ⇒ ~m
  3. C.~n ⇒ ~m
  4. D.n ⇒ m
Show the answer and explanation

Answer: C (~n ⇒ ~m)

Explanation

The contrapositive of m ⇒ n is ~n ⇒ ~m, and it is always equivalent to the original statement.