Let M be the set of all measurable sets and m is the Lebesgue measure on R. Show that if A, B E M with m(A), m(B) < ∞ then (a) m(AUB) = m(A) +m(B) - m(An B). Show that if A, B, C EM with m(A), m(B), m(C) <∞ then m(AUBUC) = m(A) +m(B) +m(C) (b) (c) sets. - m(An B)-m(ANC) - m(BNC) +m(AnBnC). Find and prove a corresponding formula for the measure of the union of n

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