11. Let p and q be the propositions "Swimming at the New Jersey shore is allowed" and "Sharks have been spotted near the shore," respectively. Express each of these com- pound propositions as an English sentence. a) q d) p→→q g) pq b) p^q e) q→P h) ¬p ^ (p V ¬q) c) f) pv q -p →→q

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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part G H

11. Let p and q be the propositions "Swimming at the New
Jersey shore is allowed" and "Sharks have been spotted
near the shore," respectively. Express each of these com-
pound propositions as an English sentence.
b) p^ q
e) q→ p
h)
a) q
d) p →→q
g) pq
p ^ (pv
q)
c)
f)
pv q
p→→q
Transcribed Image Text:11. Let p and q be the propositions "Swimming at the New Jersey shore is allowed" and "Sharks have been spotted near the shore," respectively. Express each of these com- pound propositions as an English sentence. b) p^ q e) q→ p h) a) q d) p →→q g) pq p ^ (pv q) c) f) pv q p→→q
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