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JAMB Mathematics 2024 Paper

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Question : 26

Total: 50

Given that P is the set of all prime numbers between 0 and 10, and Q is the set of all odd numbers between 0 and 10. Find the union of elements in P that are not in Q and the elements in Q that are not in P.

{2, 9}
{ 9}
{1, 9}
{1, 2, 9}

Solution:

Concept:

Find elements that belong to only one of the two sets, then combine them.

Explanation:

Prime numbers between

0

and

10

are:

\mathrm{P} = \{2, 3, 5, 7\}

Odd numbers between

0

and

10

are:

\mathrm{Q} = \{1, 3, 5, 7, 9\}

Elements in

\mathrm{P}

but not in

\mathrm{Q}

:

3

,

5

, and

7

are odd, so the only element is

2

.

Elements in

\mathrm{Q}

but not in

\mathrm{P}

:

1

and

9

are not prime.

Union of both results:

\{2\} \cup \{1, 9\} = \{1, 2, 9\}

Answer:

\{1, 2, 9\}

, which is option D.

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