Posted by brittney on Thursday, January 10, 2013 at 9:32pm.
x(x-1)(x+1) < 0
The roots are -1,0,1
Since there are no repeated roots, the graph crosses the axis at each root.
So, y<0 for large x<0, so the intervals are
(oo,-1) < 0
(-1,0) > 0
(0,1) < 0
(1,oo) > 0
y<0 for x in (-oo,-1)U(0,1)