Consider the logical argument below involving arbitrary real numbers a and b. If a 0 and ab =0 then b = 0. However, b 0. Therefore if a 0, then ab 0. It is given that p: a = 0; q: b = 0; r: ab = 0. Translate the argument into symbolic logic using the symbols defined above. Test the argument for validity.
Consider the logical argument below involving arbitrary real numbers a and b. If a 0 and ab =0 then b = 0. However, b 0. Therefore if a 0, then ab 0. It is given that p: a = 0; q: b = 0; r: ab = 0. Translate the argument into symbolic logic using the symbols defined above. Test the argument for validity.
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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Transcribed Image Text:O Consider the logical argument below involving arbitrary real numbers
a and b.
If a 0 and ab=0 then b = 0.
However, b 0. Therefore if a 0, then ab 0.
It is given that
p: a = 0;
q: b = 0;
r: ab = 0.
Translate the argument into symbolic logic using the symbols defined
above. Test the argument for validity.
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