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sbashrawi
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Homework Statement
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)
Homework 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