inequality

[unborn merlin]

inequality

[hollow herald]

Given positive real numbers x , y satisfying x>2y>0 . Prove that

[boreal gulch]

you can subtract and add y on left side

[hollow herald]

how

[solar rapids]

you can multiply by the LCM of y and x-2y

[boreal gulch]

((x/2 -y) +8/(x-2y)) +(y+1/y)

then use cauchy (AM GM) for each bracket

[hollow herald]

thanks