please send handwritten solution for part c Q1 1)Consider the setX = {x E R* / 93.x1 + 34x2 + 26x3 + 18x4 < 131, x1, x2, X3, X4 E {0, 1}}.(a)Show that x1 + x2 + x3 < 2 is a valid inequality for X.(b)Show that conv(X) is a full-dimension polyhedron.(c)Show that the valid inequality x1 + x2 + x3 < 2 is a facet of conv(X).

Here, in the question a set is given : X={x∈R4/93x1+34x2+26x3+18x4≤131, x1, x2, x3, x4 ∈ {0, 1} } We…

Answered: Consider the set = {x € R¹ / 93x₁ +34x2…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 55E

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Consider the set = {x € R¹ / 93x₁ +34x2 +26x3 + 18x4 ≤ 131, X₁, X2, X Show that x₁ + x2 + x3 ≤ 2 is a valid inequality for Show that conv(X) is a full-dimension polyhedron. Show that the valid inequality x₁ + x2 + x3 ≤ 2 is