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2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x)

2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x)

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x) <cf(x) <c- g(x) 3q Q s.t. f(x) <q and < g(x) <c-q.
Transcribed Image Text:2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x) <cf(x) <c- g(x) 3q Q s.t. f(x) <q and < g(x) <c-q.
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