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Assignment1(0211)

Assignment1(0211) - A1/MATH0211/2009-10 THE UNIVERSITY OF...

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A1/MATH0211/2009-10 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH0211 Basic Applicable Mathematics Assignment 1 Due date : Sep 17, 2009 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or demonstrator if you have any difficulties. See “Course information” at http://147.8.101.93/MATH0211 for availabilities. Please drop your work in the assignment box marked MATH0211 on the 4th floor of Run Run Shaw Building. No late work will be accepted. 1. Represent the following sets by listing and then write down their cardinalities: (a) x N : ( x - 5)( x 2 + 1 . 5 x - 1) = 0 (b) x R : x 2 + 2 x + 3 = 0 (c) { x R : x is a prime number and 80 x 90 } (d) { 10 , 11 . 5 , - 1 , 0 } ∩ Z (e) { 1 , 2 , 3 } \ { x R : x - 1 = 0 } 2. Represent the following sets by set builder notations or listing: (a) { 0 } ∩ ( - 1 , 1) (b) [1 , 4] (2 , 9) (c) { 0 , 2 , 3 , 4 , 5 , 6 } \ { 2 , 3 , 7 , 8 } (d) ([1 , 4] (2 , 9)) (8 , 10) 3. Consider the following sets : , A = { 1 } , B = { 1 , 2 , 3 } , C = { 2 , 3 } , D = { 1 , 3 , 5 } . Please
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