HW2_199 - HOMEWORK 2 DUE: Fri., Oct. 7 NAME: DIRECTIONS:...

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HOMEWORK 2 DUE: Fri., Oct. 7 NAME: DIRECTIONS: Turn in your homework as SINGLE-SIDED typed or handwritten pages. STAPLE your homework together. Do not use paper clips, folds, etc. STAPLE this page to the front of your homework. Be sure to write your name on your homework. Show all work, clearly and in order . You will lose point 0.5 points for each instruction not followed. Questions Points Score 1 1 2 1 3 1 4 2 5 3 6 1 7 1 Total 10 1
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HOMEWORK 2 DUE: Fri., Oct. 7 NAME: Problem 1: (1 point) Suppose A n = and B n = . Show that A × B = B × A if A = B . Problem 2: (1 point) IF A , B , and C are ±nite sets, show that # ( A B C ) = # A + # B + # C # ( A B ) # ( A C ) # ( B C ) + # ( A B C ) . Problem 3: (1 point) IF a , b Z , show ( a )( b ) = ab . Problem 4: (2 points) IF a , b Z , (a) (1 point) Suppose 0 < a and 0 < b . Show that a < b if a 2 < b 2 .
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This note was uploaded on 10/18/2011 for the course MATH 19900 taught by Professor Schmidt during the Fall '07 term at UChicago.

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HW2_199 - HOMEWORK 2 DUE: Fri., Oct. 7 NAME: DIRECTIONS:...

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