REASONING If the solution set of a polynomial inequality is (−3, 3), what will be the solution set if the inequality symbol is reversed? Explain your reasoning.

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]