MathDB

1

Part of 2012 Regional Competition For Advanced Students

Problems(1)

Inequality for real a: a + a^3 - a^4 - a^6 < 1

Source: Austrian Regional Competition for Advanced Students 2012, #1

5/23/2012
Prove that the inequality a+a3−a4−a6<1 a + a^3 - a^4 - a^6 < 1 holds for all real numbers aa.
inequalitiesinequalities proposed