# Math Help - Inequality

1. ## Inequality

Hello,

I have this inequality I need to prove:
$
(1+\delta)(x-y)-(x^{1+\delta}-y^{1+\delta})+(x-y)^{1+\delta}\geq0$
, where $0\leq y < x \leq 1$ and $0<\delta<1$.
I am not actually sure if it is correct, I just checked it numerically and was unable to find a counterexample.
Any ideas would be appreciated.