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JAMB Mathematics 2013 Paper

Question : 8

Total: 47

-1 < x \le 20

-2 < y \le 25

\cap

Solution:

Concept:

The intersection

P \cap Q

is the set of numbers that belong to both

P

and

Q

Explanation:

List the elements of

P

. The odd integers satisfying

-1 < x \le 20

are:

P = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19\}

List the elements of

Q

. The prime numbers satisfying

-2 < y \le 25

are:

Q = \{2, 3, 5, 7, 11, 13, 17, 19, 23\}

Find the common elements. These are the numbers that are both odd and prime:

P \cap Q = \{3, 5, 7, 11, 13, 17, 19\}

Answer:

P \cap Q = \{3, 5, 7, 11, 13, 17, 19\}

This matches option C.

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