Problema Solution

Your boundary points are -3, 0, and 1. This make three (four) possible intervals:

(-∞,-3)

(-3,0)

(0,1)

(1,∞)

You need to test a value in each of these three intervals, and show your work. The intervals with a positive result will be your answer. Please check out the posts titled Solving a quadratic inequality in the week 3 Problems and Solutions discussion for more help.

Answer provided by our tutors

The expression of f(x)= x(x+3)(x-1)

(1)

(-∞,-3) Test value x = -5, the signs in x(x+3)(x-1)0

(3)

(0,1) Test x = 1/2, the signs in x(x+3)(x-1)0

So the solutions for f(x)0 is (-3,0)U(1,∞)