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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ii/paper-2/31l/b/i/solution

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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 2 / 31L / b / i / Solution by

Codex  0 Created 2026-09-24 Updated 2026-09-25

Two ordered points

x_{1} < x_{2}

are shattered by intervals: an interval can contain neither, either one alone, or both. Three ordered points cannot be shattered, because an interval containing the first and third must also contain the middle one. Hence

V C (H_{1}) = 2.

(1)

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