2) Consider the following collections of sets: • Let Sn {xe R n 1 < x < n}, where n = N. −1 < x < 1}, where n = N. • Let T₁ = {x = R | • For each re Q (the rational numbers), let Nr be the set containing all real numbers except r, that is N, R\{r}. Determine each of the following, and prove that your answer is correct: 00 (a) Sn, (b) กร Sn, (c) Ů Tn, 00 (d) n T, (e) UNr, (f) Nr. TEQ rЄQ n=1 n=1 n=1 n=1

2) Consider the following collections of sets: • Let Sn {xe R n 1 < x < n}, where n = N. −1 < x < 1}, where n = N. • Let T₁ = {x = R | • For each re Q (the rational numbers), let Nr be the set containing all real numbers except r, that is N, R\{r}. Determine each of the following, and prove that your answer is correct: 00 (a) Sn, (b) กร Sn, (c) Ů Tn, 00 (d) n T, (e) UNr, (f) Nr. TEQ rЄQ n=1 n=1 n=1 n=1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 38E

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