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hw1 - EECS 203 Homework 1 Solutions Section 1.1 1(E 8bef b...

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EECS 203: Homework 1 Solutions Section 1.1 1. (E) 8bef b.) You don’t miss the final exam if and only if you pass the course. e.) It is either the case that if you have the flu then you don’t pass the course or the case that if you miss the final exam then you don’t pass the course. f.) Either you have the flu and miss the final exam, or you do not miss the final exam and do pass the course. 2. (E) 10cde c.) r → p d.) p ˄ ¬q ˄ r e.) (p ˄ q) → r 3. (E) 24abc Implication: p → q Converse: q → p Inverse: ¬p → ¬q Contrapositive: ¬q → ¬p a.) Converse: If I stay home, then it will snow tonight. Inverse: If it does not snow tonight, then I will not stay home. Contrapositive: If I do not stay at home, then it will not snow tonight. b.) Converse: Whenever I go to the beach, it is a sunny summer day. Inverse: Whenever it is not a sunny summer day, I don’t go to the beach. Contrapositive: Whenever I don’t go to the beach, it is not a sunny summer day. c.) Converse: If I sleep until noon, then I stayed up late. Inverse: If I don’t stay up late, then I don’t sleep until noon.
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