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|x^2-4x+1|>|x^2-4x+5|

Source: 2002 Austria Beginners' Competition p3

October 4, 2022
algebrainequalities

Problem Statement

Find all real numbers xx that satisfy the following inequality ∣x2−4x+1∣>∣x2−4x+5∣|x^2-4x+1|>|x^2-4x+5|
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