hw1 - EECS 203: Homework 1 Solutions Section 1.1 1. (E)...

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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. Contrapositive: If I do not sleep until noon, then I did not stay up late.
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This note was uploaded on 01/28/2010 for the course EECS 203 taught by Professor Yaoyunshi during the Spring '07 term at University of Michigan.

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hw1 - EECS 203: Homework 1 Solutions Section 1.1 1. (E)...

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