## Solving Polynomial Inequalities

**Example Group: Solving polynomial inequalities**

**Example Group: Solving polynomial inequalities**

**1.**Solve the non-linear inequality \[36x \leq x^3.\] Graph the solution set and write the solution using interval notation.

**Example Group: Using solutions of polynomial inequalities to determine domains of functions**

**2.**Determine the values of the variable for which \[\sqrt{5x^2 - 47x +18}\] is defined as a real number. Graph the solution set and write the solution set using interval notation.