6. Show that the half open interval [0, 2) is uncountable. (Hint: We know that (0, 2) is uncount- able. Write [0, 2) = (0, 2) U {0}, and use some theorems)

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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6. Show that the half open interval (0, 2) is uncountable. (Hint: We know that (0, 2) is uncount-
able. Write [0, 2) = (0,2) U {0}, and use some theorems)
Transcribed Image Text:6. Show that the half open interval (0, 2) is uncountable. (Hint: We know that (0, 2) is uncount- able. Write [0, 2) = (0,2) U {0}, and use some theorems)
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