Solve the following inequality x3 4x2 greaterthanorequalto

Solve the following inequality. x^3 - 4x^2 greaterthanorequalto - 4x + 16 Write your answer as an interval or union of intervals. If there is no real solution, click on \"No solution\".

Solution

x^3 - 4x^2 >= -4x +16

x^3 -4x^2 +4x -16 >=0

x^2(x -4) +4(x-4) >=0

(x^2 +4)(x-4)>=0

x^2 +4 is always greater than zero

So, (x-4)>=0

x>=4

[4, infinity )