Hi,

I do not know where to start when solving inequalities of this variety:

$\displaystyle {x}^{2} -2x + 2 > 0$

I have no trouble when these quadratic inequalities are factorizable, but with this one I have tried pushing the symbols round and round in circles and can't find a way to simplify it. I typed this into an equation solver, and found that it is true for all x. Still, I am at a loss to determine how to prove it.

Thanks in advance