Given the set X = {x € R³ : d(x, a) < r}, where d is the usual metric on R³.A set is not open if its complement is not closed.O TrueO FalseRationale:

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A set is not open if its complement is not closed. O True O False

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 11E: For the sets gives in Exercise 9, is there a distributive relationship for union with respect with...

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Given the set X = {x € R³ : d(x, a) < r}, where d is the usual metric on R³.
A set is not open if its complement is not closed.
O True
O False
Rationale:

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