Show that compact sets are closed under arbitrary intersections and finite unions. (Here we're working on just the real line)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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Show that compact sets are closed under arbitrary intersections and finite unions. (Here we're working on just the real line)

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