3. (p + r) v (9 → r) = (p a q)

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 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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Proof that the following given propositions.

answer only 3, 4, and 6

Proof that the following given propositions.
1. (p + r) A (q + r) = (p v q) +r
2. (p + q) v (p + r) = p + (q v r)
3. (p + r) v (q + r) = (p A q) + r
4. -(p
+ q) =p + -9
5. [- p A (p v q)] + q is a tautology.
6. [(p + q)A (q
+ r)] + [p + r] is a tautology.
Transcribed Image Text:Proof that the following given propositions. 1. (p + r) A (q + r) = (p v q) +r 2. (p + q) v (p + r) = p + (q v r) 3. (p + r) v (q + r) = (p A q) + r 4. -(p + q) =p + -9 5. [- p A (p v q)] + q is a tautology. 6. [(p + q)A (q + r)] + [p + r] is a tautology.
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