\(x\) can be anything from 4 to 4.9999999.
If x = 4, then floor(2x) = floor(8) = 8
If x = 4.999999, then floor (2x) = floor(9.999998) = 9
So, the sum of all possible values is \(8 + 9 = \color{brown}\boxed{17}\)
\(x\) can be anything from 4 to 4.9999999.
If x = 4, then floor(2x) = floor(8) = 8
If x = 4.999999, then floor (2x) = floor(9.999998) = 9
So, the sum of all possible values is \(8 + 9 = \color{brown}\boxed{17}\)