Solution Found!
Let p, q, and r be the propositionsp : You have the flu.q
Chapter 1, Problem 12E(choose chapter or problem)
Let \(p, q\), and \(r\) be the propositions
\(p\) : You have the flu.
\(q\) : You miss the final examination.
\(r\) : You pass the course.
Express each of these propositions as an English sentence.
a) \(p \rightarrow q\)
b) \(\neg q \leftrightarrow r\)
c) \(q \rightarrow \neg r\)
d) \(p \vee q \vee r\)
e) \((p \rightarrow \neg r) \vee(q \rightarrow \neg r)\)
f) \((p \wedge q) \vee(\neg q \wedge r)\)
Equation Transcription:
Text Transcription:
p
q
r
P right arrow q
Neg q left right arrow r
q right arrow neg r
P vee q vee r
(p right arrow r) Vee (q right arrow neg r)
(p wedge q) vee (neg q wedge r)
Questions & Answers
QUESTION:
Let \(p, q\), and \(r\) be the propositions
\(p\) : You have the flu.
\(q\) : You miss the final examination.
\(r\) : You pass the course.
Express each of these propositions as an English sentence.
a) \(p \rightarrow q\)
b) \(\neg q \leftrightarrow r\)
c) \(q \rightarrow \neg r\)
d) \(p \vee q \vee r\)
e) \((p \rightarrow \neg r) \vee(q \rightarrow \neg r)\)
f) \((p \wedge q) \vee(\neg q \wedge r)\)
Equation Transcription:
Text Transcription:
p
q
r
P right arrow q
Neg q left right arrow r
q right arrow neg r
P vee q vee r
(p right arrow r) Vee (q right arrow neg r)
(p wedge q) vee (neg q wedge r)
ANSWER:SOLUTION
Step 1
Given p,q, r be the propositions .
Where
p: You have the flu
q : You miss the final examination
r: Pass the course