ws11 - Rob Bayer Instructions Math 55 MT1 Review July 8,...

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Rob Bayer Math 55 MT1 Review July 8, 2009 Instructions Work through the following review problems as a group Make sure to focus not just on getting the correct answers, but also on how you would actually write your proofs/solutions Feel free to skip around–there’s way more problems here than the actual midterm will have, so focus on whatever your group wants practice with. As always with review/practice tests, the inclusion or exclusion of certain topics should not be taken as an indication of what will be on the actual midterm. Logic and Proof Techniques 1. Write a truth table for the compount proposition ( p q ) ( q r ) r 2. Determine whether each of the following are true or false. The domain for all variables is the set of nonnegative integers. Justify your answers. (a) x y ( y > x ) (b) x y ( x 2 + y 2 2 xy ) (c) x y (( z x = yz ) ( z = 1 y = 1)) (d) x y ( x 6 = y ) 3. Without using a truth table, show that (
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ws11 - Rob Bayer Instructions Math 55 MT1 Review July 8,...

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