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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

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
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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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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