interpretation of independent linear inequalities

Question

Let $Ax\leq b$ be a system of linear inequalities where $A\in R^{m\times n}$, $x\in R^n$ and $b\in R^m$.

Suppose $A$ is a matrix with linearly independent rows.

I wonder what would be the geometric or intuitive interpretations of these independent constraints? Thanks for your help.

Answer 1

This is kind of a long comment instead of answer. I think $Ax\leq b$, with $A$ containing linearly independent rows will always be an unbounded set. While it's pretty straight forward to see geometrically. I am wondering if there exits a formal proof.