assignment-01

assignment-01 - P OR Q ) and (NOT P ) AND (NOT Q ) have the...

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MATH 135, Fall 2010 Assignment #1 Due at 4:00pm on Tuesday, September 21 For the online MapleTA assignment, please go to http://mapleta.uwaterloo.ca/ . Problem 1 . Find all ordered pairs of integers ( x,y ) such that x 2 + 2 x + 18 = y 2 . Problem 2 . Find all real numbers x such that x - 13 x + 3 = 2 x - 1 3 . Problem 3 . Solve y = x + 1 x with 0 < x 1 for x in terms of y . Problem 4 . Let P and Q be statements. Show that the statements NOT (
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Unformatted text preview: P OR Q ) and (NOT P ) AND (NOT Q ) have the same truth tables and give an example of the equivalence of these statements in everyday language. Problem 5 . Let P , Q , and R be statements. Show that the statements P AND ( Q OR R ) and ( P AND Q ) OR ( P AND R ) have the same truth tables. This is a distributive law . 1...
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