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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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce53b0cc-5987-4173-a52d-bb9fe4f3f1b5%2Fb64f35e2-1fdc-4911-8e3d-834ba6103f31%2F8l2zpp_processed.png&w=3840&q=75)
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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