Let \([\lambda]\) be the greatest integer less than or equal to \(\lambda\). The set of all values of \(\lambda\) for wh…

Let \([\lambda]\) be the greatest integer less than or equal to \(\lambda\). The set of all values of \(\lambda\) for which the system of linear equations
\[
x+y+z=4,3 x+2 y+5 z=3,9 x+4 y+(28+[\lambda]) z=[\lambda]
\]
has a solution is:

[JEE Main 2021, 27 Aug (Shift 2)]