Let P= {p:p=6x-1, for some x EZ} and Q= {q:q=6y+5, for some y €Z}. Prove that P= Q

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.
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Let P= {p:p=6x-1, for some x EZ} and Q={q:q=6y+5, for some y EZ}.
Prove that P= Q
Transcribed Image Text:Let P= {p:p=6x-1, for some x EZ} and Q={q:q=6y+5, for some y EZ}. Prove that P= Q
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