OG_11_DS154!!!

Is x negative?

(1) X^3(1-x^2) <0
(2) x^2-1<0

I have tried it as follows:

Stem1:

Either x^3 or (1-x^2) is -ve.

If x^3 is -ve, then x is -ve.

If 1-x^2 is -ve, then x^2>1, then x may be -ve or +ve. NOT SUFF.

Stem2:

x^2-1 is -ve means 1-x^2>0. X may be -ve or +ve. NOT SUFF.

1+2:

From 2 as 1-x^2>0, x^3 in one 1 is -ve.

So, x is -ve. SUFF.

Answer is C.

Is there any shorcut?