Question

Solve the nonlinear inequality. Expr

x³-9x>0
(-3,0) U (3,00)
Graph the solution set.

How would I graph this on a number line ?

Answer 1

x∈(-3;0)∪(3;+∞).

Explanation:

1) if to solve the inequality x³-9x>0, then

x(x-3)(x+3)>0, and solution is

x∈(-3;0)∪(3;+∝).

2) the graph is provided in the attachment (it is marked with red colour).