| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2024 |
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| Session | June |
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| Topic | Modulus function |
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3
- Sketch on the same diagram the graphs of \(y = | 3 x - 8 |\) and \(y = 5 - x\).
- Solve the inequality \(| 3 x - 8 | < 5 - x\).
- Hence determine the largest integer \(N\) satisfying the inequality \(\left| 3 e ^ { 0.1 N } - 8 \right| < 5 - e ^ { 0.1 N }\).