Đ A is a closed set.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 21E: Let N be any point on side BC of the right triangle ABC. Find the upper and lower limits for the...
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How do you prove the second bullet point?

Let ACR.
• We say that is an interior point of A if for some e > 0, Ve (x)C R. The set of all interior points of A will be
denoted by A°.
• We say that x is a boundary point of A if for every e > 0, Ve (x) N A#Ø and Ve (x)N A° Ø. The set of
all boundary points of A will be denoted by aA.
Show that
A = A° U ÐA.
ĐA is a closed set.
Transcribed Image Text:Let ACR. • We say that is an interior point of A if for some e > 0, Ve (x)C R. The set of all interior points of A will be denoted by A°. • We say that x is a boundary point of A if for every e > 0, Ve (x) N A#Ø and Ve (x)N A° Ø. The set of all boundary points of A will be denoted by aA. Show that A = A° U ÐA. ĐA is a closed set.
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