Question: 1.5 Let = {A | A finite or Ac is finite}. a) Show that is an algebra. b) Show that, if

1.5 Let ℱ = {A ⊆ Ω| A finite or Ac is finite}.

a) Show that ℱ is an algebra.

b) Show that, if Ω is finite, then ℱ is a σ-algebra.

c) Show that, if Ω is infinite, then ℱ is not a σ-algebra.

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