Mathematics
WAEC 2025 PAPER 2 QUESTION 1
BAMIDELE, KAYODE · 30 October 2026
Given that U = {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 U, find : P∩Q' , P'∪Q , (P∪Q)'
solution:
U = {2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} [B1] P = {3,6,9,12,15,18} [B1] Q = {2,3,5,7,11,13,17,19} [B1] Q′ = U − Q = {4,6,8,9,10,12,14,15,16,18} [M1] P∩Q′ = {6,9,12,15,18} [A1] P′ = U − P = {2,4,5,7,8,10,11,13,14,16,17,19} [M1] P′∪Q = {2,3,4,5,7,8,10,11,13,14,16,17,19} [A1] P∪Q = {2,3,5,6,7,9,11,12,13,15,17,18,19} [M1] (P∪Q)′ = U − (P∪Q) = {4,8,10,14,16} [A1]
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