Let

U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},

A = {7, 9, 11, 13, 15},

B = {8, 10, 12, 14, 16},

C = {7, 8, 10, 11, 14, 15}.

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

(a)Ac (B Cc)

(b)(A Bc) (B Cc)

(c)(A B)c Cc

The biggest cause of inventory loss, calledshrinkage, 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: India Russia Morocco Africa Brazil Mexico Thailand Turkey

ShrinkageRate: 2.36 1.78 1.72 1.71 1.68 1.64 1.64 1.63

LetAdenote the set of countries that have a shrinkage rate greater than $1.65, letBbe the set of countries that have a shrinkage rate between $1.65 and $1.73, and letCbe the set of countries that have a shrinkage rate less than $1.70. Find the following sets. (LetIrepresent India,Rrepresent Russia,Mrepresent Morocco,Srepresent South Africa,Brepresent Brazil,Xrepresent Mexico,Hrepresent Thailand, andTrepresent Turkey. Enter your answers using roster notation. Enter EMPTY orfor the empty set.)(a)A,B, andC

A=

B=

C=

(b)AB

(c)A^cB

(d)AB^c

(e)A^cB^c