---
title: "theorem of alternatives"
type: concept
related: [Theorem Of Alternative]
source: https://www.jemoka.com/posts/kbhtheorem_of_alternative/
confidence: high
status: active
---

For two systems of inequality and equality constraints.
weak alternatives: if no more than one system is feasible strong alternatives if exactly on of them is feasible The theorem of alternatives says two inequalities are either weak or strong alteratives.
\(x &gt; a\), \(x &lt; a - 1\) are weak alteratives, \(x &gt; a\), \(x &lt;a\) are strong alteratives
