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Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.

 Apr 1, 2024
 #1
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\(0>5x^2+24x\)

\(x(5x+24)<0\)

Take interval between two solutions, because quadratic points up, and you want the part below the x axis.
Therefore the interval is \((-\frac{24}{5}, 0)\).

 Apr 1, 2024

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