3. Prove or disprove. (a) If S₁ and S₂ are compact subsets of R, then S, US₂ is compact.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 2TFE: True or False Label each of the following statements as either true or false. 2. If is a subset of ...
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Please do part (a) only thanks
3. Prove or disprove.
(a) If S₁ and S₂ are compact subsets of R, then S₁ U S₂ is compact.
(b) If for each i N, S, is a compact subset of R, then US, is
compact.
Transcribed Image Text:Please do part (a) only thanks 3. Prove or disprove. (a) If S₁ and S₂ are compact subsets of R, then S₁ U S₂ is compact. (b) If for each i N, S, is a compact subset of R, then US, is compact.
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