1. Let X = {a, b,c}, C₁ = {{c}} and C₂ = {{a, c}}. Find (a) o(C₁), the o-algebra on X generated by C₁. (b) o(C₂), the o-algebra on X generated by C2. (c) Classify the following as a o-algebra or not. Justify your answers. i. o(C₁) Uo(C₂) U {{a}, {b,c}}. ii. (o (C₁) no(C₂)) {{a}, {a,c}, {b}}.

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