Problem 7. (a) E Represent the set {x = (x₁, x₂) = R² | x12 ≥ 1}, as the intersection of some family of halfspaces. Take nonempty bounded set SCR". Prove that cl conv S = conv cl S. (b)

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Problem 7.
(a)
(b)
Represent the set {x = (x1, x2) = R² | ₁x2 ≥ 1}, as the intersection of some
family of halfspaces.
Take nonempty bounded set SCR". Prove that cl conv S = conv cl S.
Transcribed Image Text:Problem 7. (a) (b) Represent the set {x = (x1, x2) = R² | ₁x2 ≥ 1}, as the intersection of some family of halfspaces. Take nonempty bounded set SCR". Prove that cl conv S = conv cl S.
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