5. Consider a nonnegative measurable function g defined on E. If G is integrable over E, provethat m({x € E : g(x) > M}) ≤ √ª·Hint: Consider the simple function MXA, where A = {x € E : g(x) > M}. You need toconsider two cases: M(A) < ∞ and m(A) = +∞o.(This is Chebychev's Inequality)

Given a nonnegative measurable function g defined on E. If G is integrable over E. We have to prove…

Answered: Consider a nonnegative measurable funct…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Consider a nonnegative measurable funct that m({x € E : g(x) > M}) ≤ √ √ ² 9. M E Hint: Consider the simple function Mx consider two cases: M(A) < ∞o and m(A