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Let v be a finite signed measure and µ is also a finite measure.  Both defined on...

Let v be a finite signed measure and µ is also a finite measure.  Both defined on the measurable space (X,M).  if E ∈ M be such that µ(E) > ν(E). Show that there exists A ∈ M with A ⊆ E such that µ(A) > ν(A) and µ(B) ≥ ν(B) for every B ∈ M with B ⊆ A

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