Consider the indexed collection {An}neN of sets given by for every natural number n. a. b. An = {x € Z : |x| < 42 +n and x < 42/n} C. Evaluating the definitions, we have A₁ scribe the sets A2, A3, and A42; Show that 0 EnEN An. = {-42, -41,...,4 1,...,41}. Similarly de- Determine the intersection EN An.

Consider the indexed collection {An}neN of sets given by for every natural number n. a. b. An = {x € Z : |x| < 42 +n and x < 42/n} C. Evaluating the definitions, we have A₁ scribe the sets A2, A3, and A42; Show that 0 EnEN An. = {-42, -41,...,4 1,...,41}. Similarly de- Determine the intersection EN An.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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Question

I have the following question, please if able explain them in detail, I understand the general idea of indexed collections, but this one's just a bit too complex for me,