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a=b if |a-b|<x for any x>0 1990 Greece MO Grade X p1

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September 6, 2024
algebrainequalities

Problem Statement

Let a,ba,b, be two real numbers. If for any x>0x>0 holds that ∣a−b∣<x|a-b|<x, then prove that a=ba=b.
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