WAEC Mathematics 2020 Paper

Question : 2

Total: 48

\mu

\cap

Solution:

Concept:

The intersection of two sets contains only the elements common to both sets.

Explanation:

The universal set is

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

Since

X = \{x : x < 7\}

, we take all members of

\mu

less than 7:

X = \{1,2,3,4,5,6\}

For

Y

, we list the factors of 24 that are also in

\mu

The factors of 24 are

1,2,3,4,6,8,12,24

, so within

\mu

Y = \{1,2,3,4,6,8\}

Now find the common elements of

X

and

Y

X \cap Y = \{1,2,3,4,6\}

This matches option B.

Answer:

\{1,2,3,4,6\}

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