Sonika posted an Question
September 18, 2020 • 21:02 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Explain the solution how these are bounded and not bounded and how to check if they are closed ?

Example: Which of the following subset of Rn is compact ? (A) (x, X .t. x|< 1, i=1, 2,..n} {(X,, X.X)s.t. x, + X, + ... +X 0} {(x,, Xgy..X)S.t x 20; i = 1, 2..n} (B) (C) XX.X,) s.t. 1 Sx < 2} Solution: (D) (D) (A) Bounded but not closed not compact (B) Closed but not Bounded > not compact (C) Closed but not Bounded not compact (D) Closed and Bounded Compact

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    Satpal singh Best Answer

    see the attachment i hope u will unnderstand the logic apply same logic for options C & D

    cropped7975160826253722644.jpg
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