MathDB

1

Part of 2022 Turkey Junior National Olympiad

Problems(1)

Inequality with AM-GM

Source: Turkey Junior National Olympiad 2022 P1

12/23/2022
x,y,zx, y, z are positive reals such that x≤1x \leq 1. Prove that xy+y+2z≥4xyzxy+y+2z \geq 4 \sqrt{xyz}
algebraalgebra proposedAM-GMInequalityinequalities