Consider the set A = {x R x has a terminating decimal expression}. Is A countable or uncountable? Give a one-sentence justification for your answer. You can use results from the chapter notes. (b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show that |N| = |{ // : REZ}|. You do not need to prove that the function you define is a bijection.

Consider the set A = {x R x has a terminating decimal expression}. Is A countable or uncountable? Give a one-sentence justification for your answer. You can use results from the chapter notes. (b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show that |N| = |{ // : REZ}|. You do not need to prove that the function you define is a bijection.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 80E

See similar textbooks