One of the following statements is true: A) Q the set of rational numbers is field but not ordered set. B) Q the set of rational numbers is ordered set but not field. C) Q the set of rational numbers is neither ordered set nor field D) Q the set of rational numbers is an ordered set and field.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 9E: 9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of...
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One of the following statements is true:
A) Q the set of rational numbers is field but not
ordered set.
B) Q the set of rational numbers is ordered set
but not field.
C) Q the set of rational numbers is neither
ordered set nor field
D) Q the set of rational numbers is an ordered
set and field.
Transcribed Image Text:One of the following statements is true: A) Q the set of rational numbers is field but not ordered set. B) Q the set of rational numbers is ordered set but not field. C) Q the set of rational numbers is neither ordered set nor field D) Q the set of rational numbers is an ordered set and field.
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