Proposition. For all integers a and b, if a = 2 (mod 5) and b = 4 (mod 5), then a+b= 1 (mod 5). (a) Verify the proposition is true by constructing two very different examples that make the hypothesis true. At least one example should contain a negative integer. Use a sentence.
Proposition. For all integers a and b, if a = 2 (mod 5) and b = 4 (mod 5), then a+b= 1 (mod 5). (a) Verify the proposition is true by constructing two very different examples that make the hypothesis true. At least one example should contain a negative integer. Use a sentence.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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Also, construct a know-show table to outline the proof of this proposition.
Transcribed Image Text:Proposition. For all integers a and b, if a = 2 (mod 5) and b = 4 (mod 5), then
a+b= 1 (mod 5).
(a) Verify the proposition is true by constructing two very different examples that make the
hypothesis true. At least one example should contain a negative integer. Use a sentence.
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