Determine the truth-value of the following statements if A and B are known to be true, and X and Y are known to be false, but the truth values of P and Q are not known. CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE Example: AV P = TRUE k) ~[~(~PV Q) V P] V P 1) (~AVP)· (~PVY) m) ~[PV (B.Y)] V [(P v B). (P V Y)] n) ~[~PV (~QV A)] V [~(~P V Q) V (~P V A)] o) ~[(PQ) V (Q · ~P)] · ~[(P · ~Q) V (~Q ·~P)]

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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Determine the truth-value of the following statements if A and B are known
to be true, and X and Y are known to be false, but the truth values of P and Q
are not known.
CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE
Example: A V P = TRUE
k) ~[~(~P VQ) V P] V P
1) (~AVP) · (~PVY)
m)
~[P V (B.Y)] V [(P v B) · (P V Y)]
n) ~[~PV (~QV A)] V [~(~P V Q) V (~P V A)]
o) ~[(PQ) V (Q · ~P)] · ~[(P · ~Q) V (~Q · ~P)]
Transcribed Image Text:Determine the truth-value of the following statements if A and B are known to be true, and X and Y are known to be false, but the truth values of P and Q are not known. CHOOSE ONLY FROM THE FOLLOWING: TRUE, FALSE, INDETERMINATE Example: A V P = TRUE k) ~[~(~P VQ) V P] V P 1) (~AVP) · (~PVY) m) ~[P V (B.Y)] V [(P v B) · (P V Y)] n) ~[~PV (~QV A)] V [~(~P V Q) V (~P V A)] o) ~[(PQ) V (Q · ~P)] · ~[(P · ~Q) V (~Q · ~P)]
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