Math Problem Statement

Solve the polynomial inequality: −(x−9)(x+1)(x+3)>0-(x-9)(x+1)(x+3)>0

Give your answer in interval notation. Enter DNE if there is no solution.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Inequalities
Sign Analysis
Critical Points

Formulas

Factoring: (x-a)(x-b)(x-c)
Sign Analysis for Polynomial Inequalities

Theorems

Zero Product Property
Sign Change Method for Polynomial Inequalities

Suitable Grade Level

Grades 10-12