Question: (a) Give a recursive definition for the intersection of the sets A1, A2, . . . , An, An+1 U, n > 1. (b)

(a) Give a recursive definition for the intersection of the sets A1, A2, . . . , An, An+1 ⊂ °U, n > 1.
(b) Use the result in part (a) to show that for all n, r ∈ Z+ with n > 3 and 1 < r < n,
(A1 ∩ A2 ∩ ∙ ∙ ∙ ∩ Ar) ∩ (Ar+1 ∩ ∙ ∙ ∙ ∩ An) = A1 ∩ A2 ∩ ∙ ∙ ∙ ∩ Ar ∩ Ar+1 ∩ ∙ ∙ ∙ ∩ An.

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a i The intersection of A 1 A 2 is A 1 A 2 ii The intersection of A 1 A 2 A n A n1 ... View full answer

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