Consider the following truth table that defines a variable r: pqr T|T|T TFT FTF FFF

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 1CT
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Consider the following truth table that defines a variable r:
P
T
9
T|T|T
TFT
FTF
FFF
1. Select a correct formula for r:
Or = (-p^-q) V (-p^q)
Or = (-p^g) V (p^-q)
Or = (p^q) v (p^¬q)
Or = (p^g) V (p^¬q)
Hint: Think about the combinations for which is true.
2. Select a correct formula for r:
Or = (PV¬g) ^ (pVg)
Or = (pV¬q) ^ (PV q)
Or = (pVg) ^ (pv q)
Or = (pV¬q) ^ (pv q)
Hint: Think about the combinations for which is false.
Transcribed Image Text:Consider the following truth table that defines a variable r: P T 9 T|T|T TFT FTF FFF 1. Select a correct formula for r: Or = (-p^-q) V (-p^q) Or = (-p^g) V (p^-q) Or = (p^q) v (p^¬q) Or = (p^g) V (p^¬q) Hint: Think about the combinations for which is true. 2. Select a correct formula for r: Or = (PV¬g) ^ (pVg) Or = (pV¬q) ^ (PV q) Or = (pVg) ^ (pv q) Or = (pV¬q) ^ (pv q) Hint: Think about the combinations for which is false.
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