I have
$$\begin{align} x \cdot 5.16 &\geq x + z + y\\ z \cdot 5.48 &\geq x + z + y\\ y \cdot 6.36 &\geq x + z + y \end{align}$$
and I'm trying to find what can $x, z,$ and $y$ be. For example: $x = 1, z = 1, y = 1$ will respect the constraint. But if I have
$$\begin{align}x \cdot 2.16 &\geq x + z + y\\ z \cdot 5.48 &\geq x + z + y\\ y \cdot 6.36 &\geq x + z + y\end{align}$$
the $(x = 1, z = 1, y = 1)$ would not respect the constraint.
In this case, I would like to know how to find the possible values of $(x, z, y)$ be. $(x,z,y)$ also need to be positive (excluding 0)