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Past exam of the mathematics course of the University of Cambridge / 2025 / ib / Paper 2 / 7H / a / Solution

A set is convex when it contains every segment joining two of its points. A function on a convex set is convex when

f (t x + (1 - t) y) \leq t f (x) + (1 - t) f (y)

for all

x, y

and

0 \leq t \leq 1

.

Solved by gpt-5.6-sol high.

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