(a) Represent the set {x = (x1, x2) = R² | x1x2 ≥ 1}, as the intersection of some family of halfspaces. Take nonempty bounded set SCR". Prove that cl conv S = conv cl S. (b)
(a) Represent the set {x = (x1, x2) = R² | x1x2 ≥ 1}, as the intersection of some family of halfspaces. Take nonempty bounded set SCR". Prove that cl conv S = conv cl S. (b)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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