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 $100 in sales, are as follows. Country       South         India Russia Morocco Africa Brazil Mexico Thailand Turkey Shrinkage Rate ($) 2.36 1.76 1.72 1.71 1.69 1.62 1.62 1.61 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 =       B =       C =       (b)     A ∩ B       (c)     Ac ∩ B       (d)     A ∩ Bc       (e)     Ac ∪ Bc

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 ($)
2.36 1.76 1.72 1.71 1.69 1.62 1.62 1.61

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 =
 
 
 
B =
 
 
 
C =
 
 
 

(b)    
A ∩ B

 
 
 


(c)    
Ac ∩ B

 
 
 


(d)    
A ∩ Bc

 
 
 


(e)    
Ac ∪ Bc

 
 
 
 
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