To find the values of x that satisfy the inequality, we need to first find the critical points by setting each factor equal to zero:

x - 4 = 0
x = 4

3x + 1 = 0
3x = -1
x = -1/3

x - 2 = 0
x = 2

Now, we can create a sign chart using these critical points:

Test x = -1: (-)(-)(-) = -
Test x = 0: (+)(-)(-) = +
Test x = 3: (+)(+)(-) = -
Test x = 3.5: (+)(+)(+) = +
Test x = 5: (+)(+)(+) = +

Therefore, the solution to the inequality is x < -1/3 or 2 < x < 4.