Visualize $z+\frac{1}{z} \ge 2$ As we know, always
$$z+\frac{1}{z} \ge 2,~~~~~~~~~ z\in \mathbb{R}^+$$
However, is there any geometric way to visualize this equation for some one who is not that expert in math?
I know this question might have various answers. 



For plotting y=x+1/x just shift the y=1/x graph above/below y=x line and you're done!
Here are the plots of y=x,y=1/x and y=x+1/x.Adding the first two graphs gives you the third.I guess you can visualize it "graphically" now. BTW i guess @Jimmy has shown the best geometric method out there.
