Question: 7. [10 points (bonus)] Consider A, BCR such that AnB = 0. Prove IAUB(x) = IA(x) + IB(x) where IA(x) = 8. [10 points

$7. ( [10 ) points (bonus) ( ] ) Consider ( A, B subset mathbb{R} ) such that ( A cap B=emptyset ). Prove [ I_{A$

7. [10 points (bonus)] Consider A, BCR such that AnB = 0. Prove IAUB(x) = IA(x) + IB(x) where IA(x) = 8. [10 points (bonus)] Consider A, B C R. Prove IA(x) = [1, if x A 10, . IANB(x)= IA(x) IB(x) where 9. [10 points (bonus)] Consider = {1, a, 7}, Calculate all possible values of (A). 0, otherwise [1, if A x 0, otherwise : 22 [0, 1] #A # (A)= =

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