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  3. please write eligible explain in detail...

Question: please write eligible explain in detail...

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Problem 3. Let (X, M) be a measurable space, a ER, and define the sets Ao := {x e X | f(x) > a) and Ca := {x E X | f(x) a) Prove that Ao belongs to M for each a e R if and only if Ca belongs to M for each a E R.

Please write Eligible. Explain in detail.

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