12. For each n € N, define A, = [0, 1+] and B₁ = [0,1]. - =1 (a) Prove that U1A,, is an interval, and describe this interval explicitly. (b) Prove that A,, is an interval, and describe this interval explicitly. (c) Prove that UB, is an interval, and describe this interval explicitly. (d) Prove that B, is an interval, and describe this interval explicitly.
12. For each n € N, define A, = [0, 1+] and B₁ = [0,1]. - =1 (a) Prove that U1A,, is an interval, and describe this interval explicitly. (b) Prove that A,, is an interval, and describe this interval explicitly. (c) Prove that UB, is an interval, and describe this interval explicitly. (d) Prove that B, is an interval, and describe this interval explicitly.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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