01-sp00-q4 - (i) Any color except blue, red, or green? (ii)...

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Instructor: Prof. A. Suciu Name: MTH 1101 Applications of Algebra Spring 2000 QUIZ 4 Instructions : Put your name in the blanks above. Put your fnal answers to each question in the designated spaces on these pages. Show your work—iF there is not enough room, use another sheet. (1) Let U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } , A = { 0 , 2 , 4 , 6 , 8 , 10 } , B = { 1 , 2 , 3 , 6 , 9 } , C = { 0 , 5 , 6 , 7 } . (a) Find each of the following: (i) B 0 = (ii) A C = (iii) A B 0 = (iv) A B 0 = (v) A A 0 = (vi) ( A B ) C = (vii) ( ∅∪ B ) ( ∅∪ C )= (viii) ( ∅∩ B ) U = (b) Determine whether each of the following is true or false: (i) 0 C (ii) 0 / A (iii) B C (iv) ∅6⊆ C
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MTH 1101 Quiz 4 Spring 2000 (2) In a poll, 100 students were asked which color they prefer. Multiple preferences were allowed. Of the sudents polled, 20 preferred red, 30 preferred green, 40 preferred blue, 8 preferred both red and green, 15 preferred both blue and green, 12 preferred both blue and red, 5 preferred blue, red, and green, and the others expressed diFerent preferences (such as orange). (a) Draw a Venn diagram with this information. (b) How many of the students polled prefer
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Unformatted text preview: (i) Any color except blue, red, or green? (ii) At least two of these colors? (iii) Only the color blue? (iv) Green or red, but not blue? (3) List the elements in the set S , where S is dened by: (a) S = { x | x is an even integer, greater than 7, and less than 5 } (b) S = { x | x is a letter in the word MATHEMATICS, but not in ALGEBRA } (4) Let the universal set U be the set of students enrolled in this math class, let F be the set of female students, let E be the set of students taking English (in addition to math), and let H be the set of students taking History (in addition to math). (a) Describe the following sets in terms of unions, intersections and/or complements: { all male students taking English or History } = { all female students not taking History } = (b) Describe in a sentence the set dened ( F E ) ( F H )....
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01-sp00-q4 - (i) Any color except blue, red, or green? (ii)...

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