Suppose the function f is defined on a measurable set E and has the property that {x ∈ E | f(x) > c} is measurable for each rational number c. Is f necessarily measurable?
Suppose the function f is defined on a measurable set E and has the property that {x ∈ E | f(x) > c} is measurable for each rational number c. Is f necessarily measurable?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose the function f is defined on a measurable set E and has the property that {x ∈ E | f(x) > c} is measurable for each rational number c. Is f necessarily measurable?
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