2026 DSS P1 Q18

Secondary 4

3 marks

For each of the statements, state whether it is true or false in the table. If you have written false, give an example to justify your answer.

Let \(n\) be a non-zero integer for each of the statements in the table.[3]

Statement	True or False	Example (if false)
\(2n+1\) is always odd.
The product of two irrational numbers is always irrational.
\(\dfrac1n\geq\dfrac1{n^2}\)

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Answer:True; false (√2 × 2√2 = 4); false (n = −1).

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