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 f) ~(P.Q) VP i) ~P V [~Q V (P · Q)] j) P. [~(P VQ) V ~P] k) ~[~(~P VQ) V P] V P . 1) (~AV P) · (~PVY) m) ~[P V (B.Y)] V [(P v B) · (P v Y)] n) ~[~P V (~Q V A)] V [~(~P V Q) V (~P V A)] o) ~[(PQ) V (Q · ~P)] · ~[(P · ~Q) V (~Q · ~P)]
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 f) ~(P.Q) VP i) ~P V [~Q V (P · Q)] j) P. [~(P VQ) V ~P] k) ~[~(~P VQ) V P] V P . 1) (~AV P) · (~PVY) m) ~[P V (B.Y)] V [(P v B) · (P v Y)] n) ~[~P V (~Q V A)] V [~(~P V Q) V (~P V A)] o) ~[(PQ) V (Q · ~P)] · ~[(P · ~Q) V (~Q · ~P)]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
f) ~(P.Q) VP
i) ~P V [~Q V (P · Q)]
j) P. [~(P VQ) V ~P]
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)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd892926-f144-4ed8-a95a-7ea6107d697d%2Ffd26ff96-fa84-47ea-8207-affbf9e580c1%2Ffdzlqfe_processed.png&w=3840&q=75)
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
f) ~(P.Q) VP
i) ~P V [~Q V (P · Q)]
j) P. [~(P VQ) V ~P]
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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