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JAMB Mathematics 2018 Paper

Question : 42

Total: 62

The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε.

What is n(A U B)1 ?

Solution:

Concept:

We need the number of elements in the complement of

A \cup B

, that is, elements in the universal set but not in the union.

Explanation:

From the Venn diagram, the union contains every element in either set

A

or set

B

A \cup B = \{p, q, r, s, t, u, v\}

The complement

(A \cup B)^1

is the remaining part of the universal set

\varepsilon

These remaining elements are

(A \cup B)^1 = \{w, x, y, z\}

Counting them gives

n((A \cup B)^1) = 4

Answer:

4

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