Remark 2.2 (1) If {In} is a countable collection of open intervals with AC In, then m* (A) ≤ Σl(In). n=1 (2) m*(0) = 0 (3) m*({x})=0 for all x ER (4) If A CB, then m* (A) ≤ m* (B). only Do n=1

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Chapter2: Second-order Linear Odes
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These are remarks on the properties of the Lebesgue outer measure. Please prove #4 only.     

 

 

Prove only 4

Remark 2.2
(1) If {In} is a countable collection of open intervals with ACU In, then m* (A) ≤
n=1
∞
Σl(In).
n=1
(2) m* (Ø): 0
only D
(4) If A CB, then m*(A) ≤ m* (B).
Transcribed Image Text:Remark 2.2 (1) If {In} is a countable collection of open intervals with ACU In, then m* (A) ≤ n=1 ∞ Σl(In). n=1 (2) m* (Ø): 0 only D (4) If A CB, then m*(A) ≤ m* (B).
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