This is a fraction x^2(9+x)(x-6) is the numerator (x+5)(x-2) is the denominator and it's all set to greater than or equal to 0

Solve (x^2(9+x)(x-6))/((x+5)(x-2)) = 0,

x = -9, 0, 6

Solve (x^2(9+x)(x-6))/((x+5)(x-2)) > 0 by checking the intervals (-oo, -9), (-9, -5), (-5, 0), (0, 2), (2, 6) and (6, oo).

x = (-9, -5) U (0, 2) U (6, oo)

Combining the solution for inequality with the solution for equality gives you the final answer.

Answer: [-9, -5) U [0, 2) U [6, oo)

## Comments

Hi Robert. If I "plug in" (-8), the given inequality will be negative .... but (-4) satisfy given inequality ....