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

Table of contents
- Solution i

Solution

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.

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