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Decide whether the sets 221 and 22 given below are convex or not convex. Justify. (a) Q1 := {(×1, ×2) E R² |×₁ ≥ 0; ×2 ≥ 0; ×2 ≥ 1} (b) N2 := {(X1, X2) E R² |×₁ ≤ 0; ×2 ≤ 0; ×2 ≤ 1}

Decide whether the sets 221 and 22 given below are convex or not convex. Justify. (a) Q1 := {(×1, ×2) E R² |×₁ ≥ 0; ×2 ≥ 0; ×2 ≥ 1} (b) N2 := {(X1, X2) E R² |×₁ ≤ 0; ×2 ≤ 0; ×2 ≤ 1}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 24E
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Decide whether the sets 221 and 22 given below are convex or not convex. Justify. (a) Q1 := {(×1, ×2) E R² |×₁ ≥ 0; ×2 ≥ 0; ×2 ≥ 1} (b) N2 := {(X1, X2) E R² |×₁ ≤ 0; ×2 ≤ 0; ×2 ≤ 1}
Transcribed Image Text:Decide whether the sets 221 and 22 given below are convex or not convex. Justify. (a) Q1 := {(×1, ×2) E R² |×₁ ≥ 0; ×2 ≥ 0; ×2 ≥ 1} (b) N2 := {(X1, X2) E R² |×₁ ≤ 0; ×2 ≤ 0; ×2 ≤ 1}
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