GCE Mathematics 2024 Objective — Question 16

Question 16 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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

A. A. -m⇒-n
B. B. n⇒-m
C. C. -n⇒-mCorrect
D. D. n⇒m

Explanation

The statement 'm⇒n' means 'If Edna is respectful (m), then Edna is brilliant (n)'. The contrapositive of this statement is 'if Edna is not brilliant (~n), then Edna is not respectful (~m)'; which is equivalent to: ~n⇒~m.

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