2. If Mr. Eugene is the manager's neighbor, then Mr. Eugene lives halfway between Talisay and Minglanilla. If Mr. Eugene lives halfway between between Talisay and Minglanilla, then he does not live in Minglanilla. Mr. Eugene is the manager's neighbor. If Miss Leah lives in Talisay, then she does not live in Minglanila. Miss Leah lives in Talisay, Mr. Eugene lives in Minglanilla or else either Miss Leah or Ma'am Cherry lives in Minglanilla. If Ma'am Cherry lives in Minglanilla, then the manager is Ma'am Cherry. Therefore the manager is Ma'am Cherry. (N-Mr. Eugene is the manager's neighbor; H-Mr. Eugene lives hallway between Talisay and Minglanilla; M-Mr. Eugene lives in Minglanilla T-Miss Leah lives in Talisay L-Miss Leah lives in Minglanilla; C-Ma'am Cherry lives in Minglanilla; B-The manager is Ma'am Cherry.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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02 

give the formal proof of validity

 

2. If Mr. Eugene is the manager's neighbor, then Mr. Eugene lives halfway between Talisay
and Minglanilla. If Mr. Eugene lives halfway between between Talisay and Minglanilla,
then he does not live in Minglanilla. Mr. Eugene is the manager's neighbor. If Miss Leah
lives in Talisay, then she does not live in Minglanila. Miss Leah lives in Talisay. Mr.
Eugene lives in Minglanilla or else either Miss Leah or Ma'am Cherry lives in Minglanilla.
If Ma'am Cherry lives in Minglanilla, then the manager is Ma'am Cherry. Therefore the
manager is Ma'am Cherry.
(N-Mr. Eugene is the manager's neighbor;
H-Mr. Eugene lives halfway between Talisay and Minglanilla;
M-Mr. Eugene lives in Minglanilla;
T-Miss Leah lives in Talisay;
L-Miss Leah lives in Minglanilla;
C-Ma'am Cherry lives in Minglanilla;
B-The manager is Ma'am Cherry.)
Transcribed Image Text:2. If Mr. Eugene is the manager's neighbor, then Mr. Eugene lives halfway between Talisay and Minglanilla. If Mr. Eugene lives halfway between between Talisay and Minglanilla, then he does not live in Minglanilla. Mr. Eugene is the manager's neighbor. If Miss Leah lives in Talisay, then she does not live in Minglanila. Miss Leah lives in Talisay. Mr. Eugene lives in Minglanilla or else either Miss Leah or Ma'am Cherry lives in Minglanilla. If Ma'am Cherry lives in Minglanilla, then the manager is Ma'am Cherry. Therefore the manager is Ma'am Cherry. (N-Mr. Eugene is the manager's neighbor; H-Mr. Eugene lives halfway between Talisay and Minglanilla; M-Mr. Eugene lives in Minglanilla; T-Miss Leah lives in Talisay; L-Miss Leah lives in Minglanilla; C-Ma'am Cherry lives in Minglanilla; B-The manager is Ma'am Cherry.)
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