Answer:
x > -9
See the second scenario if incorrect.
Explanation:
1...x^(2) + 9x < 0
first factor
2...x * ( x + 9 ) < 0
now divide by x
note: 0 divided by any number is 0
2... x * ( x + 9 ) < 0
/x /x
3... x + 9 < 0
now subtract 9
3... x + 9 < 0
-9 -9
4... x< -9
Second scenario
In the event that x is a negative number
2... x * ( x + 9 ) < 0
dividing by x will flip the inequality sign
(3)... x + 9 > 0
subtract 9
(3)... x + 9 > 0
-9 -9
(4)... x> -9