SOLUTION: we are solving polynomial inequalities,i am lookiing for the solution set to the question: x^3-x^2<9x-9 (Type your answer in interval notation.Use integers or fractions for an

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Question 621225: we are solving polynomial inequalities,i am lookiing for the solution set to the question: x^3-x^2<9x-9 (Type your answer in interval notation.Use integers or fractions for any numbers in the expression.Type an exact answer using radicals as needed.)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
we are solving polynomial inequalities,i am lookiing for the solution set to the question: x^3-x^2<9x-9 (Type your answer in interval notation.Use integers or fractions for any numbers in the expression.Type an exact answer using radicals as needed.)
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x^3-x^2<9x-9
x^3-x^2-9x+9<0
x^2(x-1)-9(x-1)<0
(x-1)(x^2-9)<0
(x-1)(x+3)(x-3)<0
number line
<...-...-3...+.....1...-....3...+....>.
solution:
(-∞,-3) U (1,3)