I need help please to prove some properties of a positive measure which are
(a)Let µ be a positive measure on a measurable space (X,M). Let c > 0. Prove that ˜µ = cµ is also a measure
(b) Let µ1, µ2 be two positive measures on a measurable space. Assume also that there is at least one set A ∈ M such that µ1(A) + µ2(A) < ∞.
Prove that ˆµ = µ1 + µ2 is also a measure

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@oldrin.bataku could you help me with this question please?

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