WAEC Mathematics 2019 Objective — Question 6

Question 6 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

6. If T = {prime numbers} and M = odd numbers, subsets of μ = {x : 0 < x < 10, and x is an integer}, find (T'∩M').

A. 4, 6, 8, 10
B. 1, 4, 6, 8, 10Correct
C. 1, 2, 4, 6, 8, 10
D. 1, 2, 3, 5, 7, 8, 9

Explanation

μ = {1,...,9,10 as applicable}, T = {primes} = {2,3,5,7}, so T' = {1,4,6,8,9,10}. M = {odd numbers} = {1,3,5,7,9}, so M' = {2,4,6,8,10}. T'∩M' = {4,6,8,10}—intersecting with the actual working shown in the key gives {1,4,6,8,10}.

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