# Ordered field/Bernoulli's inequality/Fact

Let ${\displaystyle {}K}$ be an ordered field and ${\displaystyle {}n}$ a natural number.
Then for every ${\displaystyle {}x\in K}$ with ${\displaystyle {}x\geq -1}$ the estimate
${\displaystyle {}(1+x)^{n}\geq 1+nx\,}$