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WAEC Mathematics 2025 Theory — Question 1

Question 1 of 19 from the West African Examinations Council (WAEC) Mathematics 2025 Theory paper, with the correct answer and a full explanation.

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1. Given that μ = {x : 1 < x < 20, where x is an integer}, P = {x : x is a multiple of 3} and Q = {x : x is a prime number} where P and Q are subsets of μ, find: (a) P ∩ Q′ (b) P′ ∪ Q (c) (P ∪ Q)′

Model answer

(a) P ∩ Q′ = {6, 9, 12, 15, 18} (b) P′ ∪ Q = {2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19} (c) (P ∪ Q)′ = {4, 8, 10, 14, 16}

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