WAEC Further Mathematics 2024 Objective — Question 39
Question 39 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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39. In a truth table, if p is true and q is false, which of the following notations is false? A. [(p=>q)^q]=>p B. [(p=>q)^q]<=>p C. [(p=>q)^q]^p D. [(p=>q)^q]v~p
- A. [(p=>q)^q]=>p
- B. [(p=>q)^q]<=>pCorrect
- C. [(p=>q)^q]^p
- D. [(p=>q)^q]v~p
Explanation
With p=True and q=False: (p=>q) is False, so (p=>q)^q is False. Testing option B: False <=> True = False. This is the false statement, so option B is the answer.
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