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@jemoka / Jemoka Knowledge Base / wiki/concepts/theorem_of_alternative.md
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--- 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. \(x > a\), \(x < a - 1\) are weak alteratives, \(x > a\), \(x <a\) are strong alteratives