To solve the inequality 9 - 3x^2(x-3), we first need to simplify the expression by applying the distributive property.
1. Distribute the -3x^2 to both terms inside the parentheses:
9 - 3x^2 * x + 3x^2 * 3
2. Simplify the expression further:
9 - 3x^3 + 9x^2
Now, the inequality becomes: 9 - 3x^3 + 9x^2.
To find the solution to this inequality, we need to set it equal to zero and solve for x.
9 - 3x^3 + 9x^2 = 0
Rearranging the terms:
-3x^3 + 9x^2 + 9 = 0
This is a cubic equation that needs to be solved to find the solutions for x. Therefore, the answer choices provided (A. x 15, B. 15, O O, D. 223) are not correct or applicable in this case.
If you need further assistance in solving cubic equations or understanding the steps involved, feel free to ask for more help!
