Suppose if p and q are odd integers with p!= q (p is not equal to q). Show that there is a unique integer r such that |p − r| = |q − r|.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 30E: 30. Prove statement of Theorem : for all integers .
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Suppose if p and q are odd integers with p!= q (p is not equal to q). Show that there is a unique integer r such that |p − r| = |q − r|.

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