Homework1

# Homework1 - HOMEWORK PROBLEMS #1 SOLUTIONS TO EVEN PROBLEMS...

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HOMEWORK PROBLEMS #1 SOLUTIONS TO EVEN PROBLEMS 2. (a) A B (b) A B (c) A B = A B (d) There are many ways of denoting this, here are a couple: ( A B ) - ( A B ) = ( A B ) ( A B ) 4. (a) . (b) . 1

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2 SOLUTIONS TO EVEN PROBLEMS 6. (a) A = { ( x,y ) | x = 1 , 2 , 3 , 4 , 5 , 6 and y = 2 , 4 , 6 } , B = { ( x,y ) | x = 1 , 2 , 3 , 4 , 5 , 6 and y = 1 , 2 , 3 , 4 , 5 , 6 and x + y is even } , C = { ( x,y ) | x = 1 , 2 , 3 , 4 , 5 , 6 and y = 1 , 2 , 3 , 4 , 5 , 6 and x or y is odd } (b) A = { (1 , 2) , (2 , 2) , (3 , 2) , (4 , 2) , (5 , 2) , (6 , 2) , (1 , 4) , (2 , 4) , (3 , 4) , (4 , 4) , (5 , 4) , (6 , 4) , (1 , 6) , (2 , 6) , (3 , 6) , (4 , 6) , (5 , 6) , (6 , 6) } , C = { (2 , 2) , (2 , 4) , (2 , 6) , (4 , 2) , (4 , 4) , (4 , 6) , (6 , 2) , (6 , 4) , (6 , 6) } , A B = C = { (2 , 2) , (2 , 4) , (2 , 6) , (4 , 2) , (4 , 4) , (4 , 6) , (6 , 2) , (6 , 4) , (6 , 6) } , A B = { (1 , 2) , (1 , 4) , (1 , 6) , (3 , 2) , (3 , 4) , (3 , 6) , (5 , 2) , (5
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## This note was uploaded on 02/23/2011 for the course MATH 444 taught by Professor Any during the Fall '10 term at Roosevelt.

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Homework1 - HOMEWORK PROBLEMS #1 SOLUTIONS TO EVEN PROBLEMS...

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