Answer
$(-\infty,-1)\cup(1,+\infty)$
Work Step by Step
$x^{2}(x^{2}-1)\geq0 \rightarrow x^{2}(x-1)(x+1)\geq0$
These are zero when x=0, x=1,x=-1. These numbers divide the real line into the intervals $(-\infty,0)(0,-1)(-1,1)(1,+\infty)$
Ussing the test points to determine the sign of each factor in each interval:
