Question 544733
{{{3x^5+6x^4-24x^2-48x<0}}}
{{{3x^4(x+2)-24x(x+2)<0}}}
{{{(x+2)(3x^4-24x)<0}}}
{{{3x(x+2)(x^3-8)<0}}}
You have 3 factors. Each becomes zero and changes from negative to positive exactly once, at a certain value of x. The zeros are at x=-2, x=0, and x=2.
For x>2, all 3 factors and the product are positive. As each factor changes sign, the product will be negative between 0 and 2, positive between -2 and 0, and negative for x<-2.
So I'd say (-infinity, -2) U (0,2).