#1

Question

For what positive numbers will the cube of a number exceed four times its square?
#2
For what positive numbers will the cube of a number be less than the number?

thanks

Answer 1

1. x^3 - 4x^2 > 0
x^2(x-4) > 0

x > 4

2. x^2 < x
x^2 - x < 0
x(x-2) < 0
0 < x < 2