The biggest cause of inventory loss, called shrinkage , is shoplifting, followed

Question

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.

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

Country South India Russia Morocco Africa Brazil Mexico Thailand Turkey Shrinkage
Rate ($) 2.38 1.76 1.72 1.71 1.67 1.62 1.62 1.61

Explanation / Answer

a)

A shrinkage rate greater than $1.65 : Brazil(B) ,South Africa (S) ,Morocco(M),Russia(R), India(I)

B shrinkage rate between $1.65 and $1.73 : Brazil(B) ,South Africa (S) ,Morocco(M)

C shrinkage rate less than $1.70 : Turkey(T) ,Thailand(H) , Mexico(X),Brazil(B)

b) Brazil(B) ,South Africa (S) ,Morocco(M)

c) Empty set

d)Russia(R), India(I)

e) Turkey(T) ,Thailand(H) , Mexico(X)

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