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WAEC Mathematics 2016 Paper

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Question : 37

Total: 49

\cap

N from the venn diagram

{f, g}
{e}
{e, f, g}
{e, f, g}

Solution:

Concept:

The complement

M'

contains all elements in the universal set

U

that are not in

M

.

Then find the common elements between

M'

and

N

.

Explanation:

From the Venn diagram, identify the sets as:

M = \{a, b, c\}

N = \{c, f, g\}

U = \{a, b, c, d, e, f, g\}

First find the complement of

M

:

M' = U - M = \{d, e, f, g\}

Now intersect

M'

with

N

:

M' \cap N = \{d, e, f, g\} \cap \{c, f, g\}

The only common elements are

f

and

g

.

Therefore,

M' \cap N = \{f, g\}

.

Answer:

\{f, g\}

Correct option: A.

\{f, g\}

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