HW1 - EECS 203 HW 1 10 Let p q and r be the propositions p...

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EECS 203 HW 1 10. Let p , q , and r be the propositions p : You get an A on the final exam. q: You do every exercise in this book. r: You get an A in this class. Write these propositions using p , q , and r and logical connectives. a) You get an A in this class, but you do not do every exercise in this book. b) You get an A on the final, you do every exercise in this book, and you get an A in this class. c) To get an A in this class, it is necessary for you to get an A on the final. d) You get an A on the final, but you don’t do every exercise in this book; nevertheless, you get an A in this class. e) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class. f) You will get an A in this class if and only if you either do every exercise in this book or you get an A on the final. 12. Determine whether these biconditionals are true or false. a) 2+2=4 if and only if 1+1=2 b) 1+1=2 if and only if 2+3=4 c) 1+1=3 if and only if monkeys can fly.
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