1. List the elements of the set in roster notation.

{x |7 x = 6 and x is an integer}

2. Write the set in set-builder notation.

{1, 3, 5, 7, 9, 11, ... ,37}

{x|x= ___ ,wherenis an integer between 1 and ___inclusive}

3. Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. (Enter your answer using roster notation. Enter EMPTY or for the empty set.)

{1, 3, 4}, {c, f}

4. Let

U = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12},

A = {3, 5, 7, 9, 11},

B = {4, 6, 8, 10, 12}, and

C = {3, 4, 6, 7, 10, 11}.

List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or for the empty set.)

(a) C C^c (b) (A C)^c (c) A (B C)

5. Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},

A = {1, 3, 5, 7, 9},

B = {2, 4, 6, 8, 10},

and

C = {1, 2, 4, 5, 8, 9}.

List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or for the empty set.)

(a) A^c (B C^c) (b) (A B^c) (B C^c)

(c) (A B)^c C^c

6. The biggest cause of inventory loss, called shrinkage, is shoplifting, followed closely by employee theft. In one study, the nine countries with the highest shrinkage rates, measured in the dollar amount lost for every $100 in sales, are as follows.

Country				South
India	Russia	Morocco	Africa	Brazil	Mexico	Thailand	Turkey
Shrinkage Rate ($)	2.38	1.76	1.72	1.71	1.68	1.64	1.64	1.63

Let A denote the set of countries that have a shrinkage rate greater than $1.65, let B be the set of countries that have a shrinkage rate between $1.65 and $1.73, and let C be the set of countries that have a shrinkage rate less than $1.70. Find the following sets. (Let I represent India, R represent Russia, M represent Morocco, S represent South Africa, B represent Brazil, X represent Mexico, H represent Thailand, and T represent Turkey. Enter your answers using roster notation. Enter EMPTY or for the empty set.)(a)

A, B, and C

(a) A, B, and C

A =
B =
C =

(b) A B

(c) A^c B

(d) A B^c

(e) A^c B^c