Below are true statements on examples of convex and nonconvex sets: Select one or more: 2 O a. The set { (x, y, z) e R | x +y + z 2 10} is a convex set b. The set {}is a convex set c. The set {(1, 1, 1)} is a nonconvex set O d. The set {x eR | -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Below are true statements on examples of convex and nonconvex sets:
Select one or more:
3
2
2
a. The set { (x, y, z) e R | x +y+z 2 10} is a convex set
b. The set {} is a convex set
c. The set {(1, 1, 1)} is a nonconvex set
O d. The set {X eR| -10 sx s 10} is a convex set
3
2
2
e. The set { (x, y, z) e R | x +y +z
:10} is a convex set
O O
Transcribed Image Text:Below are true statements on examples of convex and nonconvex sets: Select one or more: 3 2 2 a. The set { (x, y, z) e R | x +y+z 2 10} is a convex set b. The set {} is a convex set c. The set {(1, 1, 1)} is a nonconvex set O d. The set {X eR| -10 sx s 10} is a convex set 3 2 2 e. The set { (x, y, z) e R | x +y +z :10} is a convex set O O
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