WAEC Further Mathematics 2016 Paper

Question : 1

Total: 40

P = \{x : -2 < x < 5\}

Q = \{x : -5 < x < 2\}

\mu = \{x : -5 \le x \le 5\}

(P \cup Q)

Solution:

Concept:

The union of two sets combines all elements that belong to either set.

Explanation:

P = \{x : -2 < x < 5\}

means

x

is between

-2

and

5

Q = \{x : -5 < x < 2\}

means

x

is between

-5

and

2

For

(P \cup Q)

, include every

x

that is in

P

or in

Q

The combined interval starts just above

-5

and ends just below

5

Thus,

(P \cup Q) = \{x : -5 < x < 5\}

Answer:

\{x : -5 < x < 5\}

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