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Consider the set of real numbers, R. Let A = {x∈R:0≤x≤2} be a subset of R. Is the set A open, closed, both, or neither in the standard topology on R?

Consider the set of real numbers, R. Let A = {x∈R:0≤x≤2} be a subset of R. Is the set A open, closed, both, or neither in the standard topology on R?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
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Consider the set of real numbers, R. Let A = {x∈R:0≤x≤2} be a subset of R.

Is the set A open, closed, both, or neither in the standard topology on R?

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