Check if the following proof by contradiction is correct. Also, what are the justifications for 9 and 10?
Check if the following proof by contradiction is correct. Also, what are the justifications for 9 and 10?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Check if the following proof by contradiction is correct. Also, what are the justifications for 9 and 10?
![6) (Pva) →s
Hypothelical Sy llogism
on 1) and 5)
using Conditiên al on (3)
7) ~pv~Q
8)
De mosgan on (7)
g)
( by
I by (1))
PR
1o)
Q->R
1)
Hpothetical sy
on (9) and G))
Hence
Prove by
Contradiction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7efd2167-14f2-4ccb-819a-51578c26b441%2Ffbf246a8-a1da-449c-a2f7-a9a86c15a4b7%2Falyun4n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6) (Pva) →s
Hypothelical Sy llogism
on 1) and 5)
using Conditiên al on (3)
7) ~pv~Q
8)
De mosgan on (7)
g)
( by
I by (1))
PR
1o)
Q->R
1)
Hpothetical sy
on (9) and G))
Hence
Prove by
Contradiction.
![RVS
P→~Q
Posof
Stutement
Justification
premise
1) (PvQ)→~R
2)
RVS
Premise
3)
pre mise
4) ~(Pas)
poeliminazy Assumption
5) ~R-> S
using conditional Law on (2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7efd2167-14f2-4ccb-819a-51578c26b441%2Ffbf246a8-a1da-449c-a2f7-a9a86c15a4b7%2Fdpocgum_processed.jpeg&w=3840&q=75)
Transcribed Image Text:RVS
P→~Q
Posof
Stutement
Justification
premise
1) (PvQ)→~R
2)
RVS
Premise
3)
pre mise
4) ~(Pas)
poeliminazy Assumption
5) ~R-> S
using conditional Law on (2)
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