MathDB

2

Part of 2016 Swedish Mathematical Competition

Problems(1)

| \sqrt{x^2+2x+5} - \sqrt{x^2-4x+8}| <3

Source: 2016 Swedish Mathematical Competition p2

5/1/2021
Determine whether the inequality ∣x2+2x+5−x2−4x+8∣<3 \left|\sqrt{x^2+2x+5}-\sqrt{x^2-4x+8}\right|<3 is valid for all real numbers xx.
inequalitiesalgebra