Plz answer correctly asap 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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Answered: Question: Consider the following…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

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}