Steps To prove that: An (Uier Bi) = Uier (An Bi) we need to show that both sides of the equation are equal. This involves proving two inclusions: An (Uier Bi) ≤ UiÊI (AN Bi)and Ur (An Bi) ≤ An (Uie Bi) Ui Є I Proof: Part 1: An (UIB₁) C Uiel (An Bi) Let x E An (Uier Bi). By the definition of intersection and union, this means that: Let A be a set, and let {B}ier be an indexed family of sets. Prove that An (UB.) - U (An B.). iЄl JL

Steps To prove that: An (Uier Bi) = Uier (An Bi) we need to show that both sides of the equation are equal. This involves proving two inclusions: An (Uier Bi) ≤ UiÊI (AN Bi)and Ur (An Bi) ≤ An (Uie Bi) Ui Є I Proof: Part 1: An (UIB₁) C Uiel (An Bi) Let x E An (Uier Bi). By the definition of intersection and union, this means that: Let A be a set, and let {B}ier be an indexed family of sets. Prove that An (UB.) - U (An B.). iЄl JL

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 9CT

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