Given that \(n\) is an integer and \(n>1\), decide whether each statement in the table is true or false. For each statement write true or false in the table. If you write false, give an example to justify your decision.[3]
| Statement | True or False | Example (if false) |
|---|---|---|
| \(n^3>1\) | ||
| \(\dfrac1n>\dfrac1{n^2}\) | ||
| \((n-1)(n+3)\) is always odd |
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