MathDB

7

Part of 2004 India Regional Mathematical Olympiad

Problems(1)

Ineq

Source: Indian RMO 2004 Problem 7

2/28/2006
Let xx and yy be positive real numbers such that y3+y≤x−x3y^3 + y \leq x - x^3. Prove that (A) y<x<1y < x < 1 (B) x2+y2<1x^2 + y^2 < 1.
inequalities