let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed. Hint: You might try showing (A ∩B)^c is open. (Recall (A ∩B)^c is the complement of A ∩B).
let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed. Hint: You might try showing (A ∩B)^c is open. (Recall (A ∩B)^c is the complement of A ∩B).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 27E
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let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed.
Hint: You might try showing (A ∩B)^c is open. (Recall (A ∩B)^c is the complement of A ∩B).
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