Hai,

I need help with his one, it's pretty simple and im pretty darn lousy at math :)

Show that $\displaystyle (1+x)^n \geq 1 + nx$ for all positive integers n, and

all real numbers x $\displaystyle \geq 0$

It's true for $\displaystyle n=x=1$

But im stuck at the inductive step:

$\displaystyle (1+(x+1))^{n+1} \geq 1 + (n+1)(x+1)$

Please help?