2. Let E be the set of all x € [0, 1] whose decimal expansion contains only the digits 2 and 8. Is E countable? Is E dense in [0, 1]? Is E sequentially compact?
2. Let E be the set of all x € [0, 1] whose decimal expansion contains only the digits 2 and 8. Is E countable? Is E dense in [0, 1]? Is E sequentially compact?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 30E: Let be as described in the proof of Theorem. Give a specific example of a positive element of .
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