Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - Chapter Summary, Review, and Test - Review Exercises - Page 110: 53

Answer

(A∩C)' = {a,b,c,d,e,g,h,p,r}

Work Step by Step

(A∩C)'. (A∩C) represents the regions common to both the sets A and C. (A∩C)' represents the regions of set 'U' which are not present in set (A∩C). From the given Venn diagram, the regions I, II, III, VI, VII, VIII represents the set (A∩C)'. Now the elements of the region I, II, III, VI, VII, VIII are c,d,e,g,h,p,r,a,b. (A∩C)' = {a,b,c,d,e,g,h,p,r}
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