Question

-6x3 + 30x2 ≥ 0

Answer 1

You want the steps to solving this type of problem?
Or just the answer to verify your solution?

Answer 2

steps

Answer 3

1. Turn the inequality into an equation, simply by writing -6x^3 + 30x^2 = 0.
The reason for doing this is to find the solutions of x. In this case the value of x that solves this equation is 0 and 5.
2. Set up the intervals for the function.
That is, (negative infinity, 0) ; (0,5) ; (5, positive infinity)
3. Take a test value from each interval (do not use any of the boundary values, i.e. 0 or 5) and substitute it into the expression -6x^3 + 30x^2.
Only regard the sign of the return value.
4. Since -6x^3 + 30x^2 must be greater than or equal to zero, select only those intervals that yield a positive number.
5. Be sure to use square brackets appropriately to account for the 'or equal to zero' part of the inequality.