mbols proposition tautolog 2. (a) Negate the proposition Vp [(3t [R(p, t)]) VQ(p)]. Move the negation as far inside the parentheses as possible. Show all steps. Pay close attention to the parentheses. (b) Let National park in the US Hiking trail that doesn't allow dogs park p has trail t park p is closed. Write the original proposition and its negation in English. P t R(p, t) Q(p)
mbols proposition tautolog 2. (a) Negate the proposition Vp [(3t [R(p, t)]) VQ(p)]. Move the negation as far inside the parentheses as possible. Show all steps. Pay close attention to the parentheses. (b) Let National park in the US Hiking trail that doesn't allow dogs park p has trail t park p is closed. Write the original proposition and its negation in English. P t R(p, t) 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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Plz answer question 2 only in 20 mints plz it's very urgent
![1. (a) Show that [(p→q) Aq] →p is not a tautology.
(b) Make up an example (i.e., particular English statements for p and q) to illustrate how the propo-
sition in part (a) can be false.
(c) Insert two ("not") symbols to make the proposition in part (a) into a tautology.
2. (a) Negate the proposition Vp [(3t [R(p, t)]) VQ(p)]. Move the negation as far inside the parentheses
as possible. Show all steps. Pay close attention to the parentheses.
(b) Let
P
t
R(p, t)
Q(p)
National park in the US
Hiking trail that doesn't allow dogs
park p has trail t
park p is closed.
Write the original proposition and its negation in English.
h
Gall
Ah
dat](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd892e9e8-71c0-4846-af7f-3d1190bdee9b%2F7a0b9e69-5419-44a8-98fb-578148fa7a44%2Fkb2eauk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (a) Show that [(p→q) Aq] →p is not a tautology.
(b) Make up an example (i.e., particular English statements for p and q) to illustrate how the propo-
sition in part (a) can be false.
(c) Insert two ("not") symbols to make the proposition in part (a) into a tautology.
2. (a) Negate the proposition Vp [(3t [R(p, t)]) VQ(p)]. Move the negation as far inside the parentheses
as possible. Show all steps. Pay close attention to the parentheses.
(b) Let
P
t
R(p, t)
Q(p)
National park in the US
Hiking trail that doesn't allow dogs
park p has trail t
park p is closed.
Write the original proposition and its negation in English.
h
Gall
Ah
dat
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