12. For each n € N, define An = [0,1 + ½] and B₂ = [0, 1 − 1]. - (a) Prove that Uº₁ An is an interval, and describe this interval explicitly. n=1 (b) Prove that 1 An is an interval, and describe this interval explicitly. =1 n=1 (c) Prove that U-₁ B₁ is an interval, and describe this interval explicitly. (d) Prove that ₁ B₂ is an interval, and describe this interval explicitly. n=1

12. For each n € N, define An = [0,1 + ½] and B₂ = [0, 1 − 1]. - (a) Prove that Uº₁ An is an interval, and describe this interval explicitly. n=1 (b) Prove that 1 An is an interval, and describe this interval explicitly. =1 n=1 (c) Prove that U-₁ B₁ is an interval, and describe this interval explicitly. (d) Prove that ₁ B₂ is an interval, and describe this interval explicitly. n=1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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