Let ECR be a measurable set with |E| > 0. Prove that there exists a € R, a ‡ 0, such that |(E + a)^ E| > 0. (In fact, this claim holds in Rª for every d E N, so you are welcome to prove

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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1. Let ER be a measurable set with |E| > 0. Prove that there exists a ER,
0, such that |(E + a)^ E| > 0.
a
(In fact, this claim holds in Rd for every d E N, so you are welcome to prove
it in this more general form).
Transcribed Image Text:1. Let ER be a measurable set with |E| > 0. Prove that there exists a ER, 0, such that |(E + a)^ E| > 0. a (In fact, this claim holds in Rd for every d E N, so you are welcome to prove it in this more general form).
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