Is x² - y > 1/y²

[neoreaves]

Is x² - y > 1/y² where y is non-zero?

(1) x < y
(2) x² < y²

[iamseer]

Since y^2 is >0 we can cross multiply.

from 1:
x,y, Is (y^2*x^2-Y^3)>1?
2,3, Is (36-27)>1 Yes
0.1,0.2 (everything less than 1) NO
Not Sufficient

from 2:
x^2,y^2, Is (y^2*x^2-Y^3)>1?
take x=sqrt2 and y=sqrt3
2,3, Is (36-27)>1 Yes
take x=0.1, y=0.2
0.01,0.04 (everything less than 1) NO
Not Sufficient

Combining 1 and 2:
examples in St2 are in fact combining both 1 and 2
Not Sufficient

IMO answer E