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(Solved) : 180 Let S Uncountable Set Every S E S Let F R F X Sup R S E S Prove F Measurable 0 Contin Q33200335 . . .

This is real analysis problem. Plz help
180. Let S be an uncountable set. For every s E S, let f. R f(x) = sup{A(r) : s E S). Prove that f is measurable. (0,) be a continuons function. Define Show transcribed image text

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Answer to 180 Let S Uncountable Set Every S E S Let F R F X Sup R S E S Prove F Measurable 0 Contin Q33200335 . . .