2. Use truth tables to show that the following statements are logically equivalent: (a) PV (QAR) = (PVQ) A (PVR) *The examples, section numbers are from Richard Hammack's "Book of Proof". (b) P⇒Q=(-P) VQ

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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How can we make a truth table ?
2. Use truth tables to show that the following statements are logically equivalent:
(a) PV (QAR) = (PVQ) ^ (PVR)
*The examples, section numbers are from Richard Hammack's "Book of Proof".
(b) P⇒Q=(-P) VQ
Additional Problems
1. Make a truth table for (PV-P) VQ.
2. Show the logical equivalence: (PA(-PVQ))--PV-Q.
H
Transcribed Image Text:2. Use truth tables to show that the following statements are logically equivalent: (a) PV (QAR) = (PVQ) ^ (PVR) *The examples, section numbers are from Richard Hammack's "Book of Proof". (b) P⇒Q=(-P) VQ Additional Problems 1. Make a truth table for (PV-P) VQ. 2. Show the logical equivalence: (PA(-PVQ))--PV-Q. H
1. Make a truth table for the following statement:
(a) (PVQ) V (-P)
(b) "The product ry = 0 if and only if x = 0 or y=0"
(c) PV (QAR)
2. Use truth tables to show that the following statements are logically equivalent:
(a) PV (QAR) = (PVQ) A (PVR)
H
Transcribed Image Text:1. Make a truth table for the following statement: (a) (PVQ) V (-P) (b) "The product ry = 0 if and only if x = 0 or y=0" (c) PV (QAR) 2. Use truth tables to show that the following statements are logically equivalent: (a) PV (QAR) = (PVQ) A (PVR) H
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