1)Let be a measurable subset of with and let be a sequence of measurable subsets of . If, for any , there exists a set in the sequence with , find the value of .
My working is as below:
Since & ,
, so .
So set such that for
So .
Hence .
Is this correct?
2)Let be a measurable set with . Suppose that is a sequence of measurable subsets of such that for . Find .
I suppose the answer is 1?