Kindly asking to find the set of possible solutions if they exist of the equation $\lfloor x+\lfloor x+\lfloor x\rfloor\rfloor\rfloor+3\lfloor x\rfloor=18$ Of course I have 4 intervals as choices:
- $[\frac{5}{2}, \frac{7}{2})$
- $[3, 5)\smallsetminus \{4\}$
- $[3, 4)$
- $\emptyset$
$\lfloor x\rfloor$ is largest integer not greater than $x$. Thank you very much.