The inequality is -3<x<0 and x>3.
We have given that,
[tex]x^3-9x > 0[/tex]
We have to factor above equation
[tex]x\left(x+3\right)\left(x-3\right) > 0[/tex]
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
After the solving the inequality we get,
[tex]-3 < x < 0\quad \mathrm{or}\quad \:x > 3[/tex]
Therefore we get the inequality is -3<x<0 and x>3.
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