Graph the solution to the inequality on the real number line. $x(x+3)(x-3)>0$

A)
B)
C)
D)
E) none of these

The zeros of the function are -3, 0, and 3.
To determine the sign of the inequality for each interval, we can use test points:

Test x=-4: (-4)(-1)(-7)=-28<0, so the inequality is false for x<-3.
Test x=-2: (-2)(1)(-5)=10>0, so the inequality is true for -3Test x=1: (1)(4)(-2)=-8<0, so the inequality is false for 0Test x=4: (4)(7)(1)=28>0, so the inequality is true for x>3.

Therefore, the solution is x<-3 or 0