| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2023 |
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| Session | September |
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| Topic | Modulus function |
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2. (i) Sketch the graph of \(y = | 2 x - 7 a |\), where \(a\) is a positive constant. State the coordinates of the points where the graph meets each axis.
(ii) Solve the inequality \(| 2 x - 7 a | < 4 a\).
(iii) Deduce the largest integer \(N\) satisfying the inequality \(| 2 \ln N - 10.5 | < 6\).
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