Data Sufficiency (DS) | Re: Is 10x > x^10 ? (1) x is a positive number. (2) x^2 – 1 < 0

We need to locate one of the following scenarios:
x<0 or x>10^1/9
(1) x>0
If x lies between 0 and 10^1/9 then NO
If x > 10^1/9 then YES
(2) x lies in interval (-1;1)
Insufficient as long as different cases are possible, see example from (1)

combining (1)+(2) we have that x lies between (0;1), again example from (1) shows that it's not sufficient.

Answer E.
P.S. I'm not sure whether my line of reasoning is correct

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