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Question: please write eligible explain in detail...

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Exercise 12.2 Let A be a σ-algebra of subsets of Ω, and suppose μ is a measure on Ω. Prove the following properties: (a) If A, B A, then A BE A; (b) If A, B E A, and A C B, then μ(A) 11(B); (c) If A, B E A, then μ(A U B) < μ(A) + μ(B)

Please write eligible. Explain in detail.

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