(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A and B be bounded sets for which there is [tex]\alpha[/tex] > 0 such that |a -b| [tex]\geq[/tex][tex]\alpha[/tex]

for all a in A and b in B. Prove that outer measure of ( A [tex]\bigcup[/tex] B ) = outer measure of (A) + outer measure of (B)

2. Relevant equations

We know that outer measure of the union is less than the addition of outer measure of the single sets

we need to show that it is greater than the addition of outer measures of the sets

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Real Analysis ( measure theory)

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