Answer: The new solution set is [tex](-\infty,-3)\cup(3,\infty).[/tex]
Step-by-step explanation: Given that the solution set of a polynomial inequality is (-3, 3).
We are to find the solution set if the inequality symbol is reversed.
Let x denotes the unknown variable in the original inequality.
Then, according to the given information, we can write
[tex]x\in (-3,3)\\\\\Rightarrow -3<x<3.[/tex]
Now, if we reverse the sign of the inequality, then the value of x will be
[tex]x<-3~~~\textup{and}~~~x>3.[/tex]
This new solution set can be written as
[tex]x\in(-\infty,-3)\cup(3,\infty).[/tex]
Thus, the new solution set is [tex](-\infty,-3)\cup(3,\infty).[/tex]
