Answer
$\{-3\}\cup[1,\infty)$
Work Step by Step
Given $x^3+5x^2+3x-9\geq0$, we can identify it as an inequality. Graph $f(x)=x^3+5x^2+3x-9$ as shown in the figure and we can find the solution set as $\{-3\}\cup[1,\infty)$
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