The corresponding polynomial has exactly three zeros: -7, -6, and 17. That means the range of real values comprising the domain of the polynomial inequality is divided into four regions:
None of the endpoints are included because any of the finite endpoints would make the inequality equal zero.
Consider the sign of each factor for a selected value in each of the intervals:
From the first interval select -8:
: Invalid interval
From the second interval select -6.5:
: Values from this interval make the inequality true.
From the third interval select 0:
: Invalid interval
From the fourth interval select 18:
: Values from this interval make the inequality true.
