(Real Analysis) Let E ⊂ ℝ and y ∈ ℝ. Show that E is measurable iff E + y := {x + y : x ∈ E} is measurable. *complete, detailed proof*

(Real Analysis) Let E ⊂ ℝ and y ∈ ℝ. Show that E is measurable iff E + y := {x + y : x ∈ E} is measurable. complete, detailed proof

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 24E

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Question

(Real Analysis) Let E ⊂ ℝ and y ∈ ℝ. Show that E is measurable iff E + y := {x + y : x ∈ E} is
measurable. *complete, detailed proof*

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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