mathhw1

# mathhw1 - HOMEWORK 1 1. Determine whether each of the...

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HOMEWORK 1 1. Determine whether each of the following collections is a (well-defined) set. If it is not, explain why. a. The collection of all of the red cars in Boulder. b. The collection of all of the fast cars in Boulder. c. The collection of all of the prime numbers. d. The collection of all of the hairs on your head. e. The collection of all of the pretty babies in Colorado. 2. Let A be the set of all integers greater than or equal to 1 and less than or equal to 7. a. Write the set A in roster notation. b. Is 1,5 { } A? c. Is 1,5 { } A? d. Is 1,5 { } A? e. Is 4 A? f. Is 4 A? 3. Let B= i,r,s { } , C= s,i,r { } , D= r,i,s,e,r { } , E= s,t,i,r { } , and F= e {} a. List all of the subsets of B. (Hint: There are 8 of them.) b. List all of the elements of C. c. Find n D ( ) . d. Describe the relationship between the sets B and C. e. Describe the relationship between the sets C and D. f. Describe the relationship between the sets D and E. g. Describe the relationship between the sets E and F.

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## This note was uploaded on 10/22/2008 for the course MATH 1071 taught by Professor Marshall,k during the Fall '08 term at Colorado.

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mathhw1 - HOMEWORK 1 1. Determine whether each of the...

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