[Solution Library] The smallest α -algebra containing \mathcalE is called the σ -algebra generated by \mathcalE and is denoted by σ(\mathcalE).
Question: The smallest \(\alpha\) -algebra containing \(\mathcal{E}\) is called the \(\sigma\) -algebra generated by \(\mathcal{E}\) and is denoted by \(\sigma(\mathcal{E})\). If \(\mathcal{E} \subset \mathcal{F}\), prove that \(\sigma(\mathcal{E})\) C \(\sigma(\mathcal{F})\).
Deliverable: Word Document 
(All Steps) Show that \mathcalB is generated by each of the following:
(See Steps) Given any subset E of R and any h ∈ R, show that
![[Solution Library] Given δ>0, show that m^*(E)=](/images/solutions/MC-solution-library-38407.jpg "[Solution Library] Given δ>0, show that m^*(E)= ∈ f ∑_n=1^∞")
[Solution Library] Given δ>0, show that m^*(E)= ∈ f ∑_n=1^∞
(Step-by-Step) If E=∪_n=1^∞ I_n is a countable union of pairwise
(Solution Library) If m^*(E)=0, show that m^*(E ∪ A)=m^*(A)=m^*(A
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