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214

Part of 1952 Moscow Mathematical Olympiad

Problems(1)

MMO 214 Moscow MO 1952 |x| < 1, |y| < 1 => |(x - y/(1-xy)| <1

Source:

8/8/2019
Prove that if ∣x∣<1|x| < 1 and ∣y∣<1|y| < 1, then ∣x−y1−xy∣<1\left|\frac{x - y}{1 -xy}\right|< 1.
inequalitiesalgebraabsolute valueMoscow