I have a problem with solving the following problem: We are given a set that looks like this:
$\{x \in \mathbb{R}^n | b \leq a^Tx \leq c\}$ where $a \in \mathbb{R}^n$, $b, c \in \mathbb{R}$
My task is to find set of Border points and set of Inner points x in X. I was able to compute examples like this for simplier one and two dimensional functions where I can imagine, how the picture looks like but Im quite lost in this case. Can you help me out and suggest some simple method how to solve these examples for n-dimensional vectors (I have a lot of these to solve :D). Thank you!