If T = {prime numbers} and M = {odd numbers} are subsets of = {x : 0 ≤ 10} and x is an integer, find (T^{} n M^{}).

Correct Answer is : {4, 6, 8, 10}

Correct Answer is : {4, 6, 8, 10}

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WAEC Mathematics 2019 Paper

Question : 6

Total: 50

\mu

^{\prime}

^{\prime}

Solution:

Concept:

Use complements of sets

T

and

M

with respect to the universal set

\mu

, then find their intersection.

Explanation:

Given

\mu = \{x : 0 < x \le 10\}

and

x

is an integer, so

\mu = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}

T = \{2, 3, 5, 7\}

(prime numbers).

M = \{1, 3, 5, 7, 9\}

(odd numbers).

Thus,

T' = \{1, 4, 6, 8, 9, 10\}

And

M' = \{2, 4, 6, 8, 10\}

T' \cap M' = \{4, 6, 8, 10\}

Answer:

\{4, 6, 8, 10\}

, i.e. Option A.

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