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Let p, q, and r be the propositions p: It is hot. q: It is raining. r: We go to the beach. Match the English sentences with the compound propositions. If it is not raining and it is hot, we go to the beach. If it is either hot or raining (or both), then we do not go to the beach. It is hot and raining, but we still go to the beach. If it is either hot or raining (but not both), then we go to the beach. We do not go to the beach only if it is not hot and not raining. We go to beach if and only if it is not raining and it is hot. 1. p^q^r 2. (pVq) →→r 3. (p^¬q) → r 4. (p^¬q) r 5. (pq) →r 6. (p¬q)

Let p, q, and r be the propositions p: It is hot. q: It is raining. r: We go to the beach. Match the English sentences with the compound propositions. If it is not raining and it is hot, we go to the beach. If it is either hot or raining (or both), then we do not go to the beach. It is hot and raining, but we still go to the beach. If it is either hot or raining (but not both), then we go to the beach. We do not go to the beach only if it is not hot and not raining. We go to beach if and only if it is not raining and it is hot. 1. p^q^r 2. (pVq) →→r 3. (p^¬q) → r 4. (p^¬q) r 5. (pq) →r 6. (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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Let p, q, and r be the propositions p: It is hot. q: It is raining. r: We go to the beach. Match the English sentences with the compound propositions. > If it is not raining and it is hot, we go to the beach. If it is either hot or raining (or both), then we do not go to the beach. It is hot and raining, but we still go to the beach. If it is either hot or raining (but not both), then we go to the beach. We do not go to the beach only if it is not hot and not raining. We go to beach if and only if it is not raining and it is hot. 1. p^q^r 2. (pVq) →→ 3. (p^¬q) → r 4. (p^¬q) → r 5. (pq) →r 6. ¬→ (p^¬q)
Transcribed Image Text:Let p, q, and r be the propositions p: It is hot. q: It is raining. r: We go to the beach. Match the English sentences with the compound propositions. > If it is not raining and it is hot, we go to the beach. If it is either hot or raining (or both), then we do not go to the beach. It is hot and raining, but we still go to the beach. If it is either hot or raining (but not both), then we go to the beach. We do not go to the beach only if it is not hot and not raining. We go to beach if and only if it is not raining and it is hot. 1. p^q^r 2. (pVq) →→ 3. (p^¬q) → r 4. (p^¬q) → r 5. (pq) →r 6. ¬→ (p^¬q)
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