< 5n^2

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• Multiply both sides by \(n^2 + 1\) (positive):
• < 5(n^2 + 1)
• < 5n^2 + 5
• < n^2
• n > \sqrt{19} \approx 4.358
• The smallest integer greater than 4.358 is \(n = 5\).

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