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Question: Consider the following standard topology, please define the sets below are closed, open, or clopen. 1) {(a,b): a<0 and b>=0} 2) {(a,b): a=1 and y<=2} 3) {(a,b): ab=1} 4) {(a,b): a^2+b^2 >=1}

Question: Consider the following standard topology, please define the sets below are closed, open, or clopen. 1) {(a,b): a<0 and b>=0} 2) {(a,b): a=1 and y<=2} 3) {(a,b): ab=1} 4) {(a,b): a^2+b^2 >=1}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 21E
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Question: Consider the following standard topology, please define the sets below are closed, open, or clopen. 1) {(a,b): a<0 and b>=0} 2) {(a,b): a=1 and y<=2} 3) {(a,b): ab=1} 4) {(a,b): a^2+b^2 >=1}
Transcribed Image Text:Question: Consider the following standard topology, please define the sets below are closed, open, or clopen. 1) {(a,b): a<0 and b>=0} 2) {(a,b): a=1 and y<=2} 3) {(a,b): ab=1} 4) {(a,b): a^2+b^2 >=1}
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