Thread: Inequalities

How do we prove this expression?
x>0, y>0, z>0

x/y + y/z >= 2

I tried expanding, xz + y^2 >= 2yz

I see that if x = z, this expression is true, from x^2 + y^2 >= 2xy,
but how do we phrase that?

Am I misreading this ?

(for example) is not greater than or equal to 2.

Hm... i gues question is wrong then. Thxs