WAEC Mathematics 2017 Objective — Question 42
Question 42 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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Consider the statements: p: it is hot. q: it is raining. Which of the following symbols correctly represents the statement "It is raining if and only if it is cold"?
- A. A. p⇒~q
- B. B. q⇔p
- C. C. ⇔~q
- D. D. q⇔~pCorrect
Explanation
"It is raining if and only if it is cold" is represented as q⇔~p, since "cold" is the negation of "hot" (~p), and "if and only if" is the biconditional (⇔).
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