College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 15: 14

Answer

A ∩ C = {1,3,4}

Work Step by Step

A ∩ C ∩ means intersect when talking about sets. A ∩ C means to find the intersection of the elements of set A and set C. By intersection we mean those elements that are in both sets A and B. The elements must be in both sets to be in the intersection. A={1,3,4,5,9} C={1,3,4,6} You can find the intersection by comparing each element in A with each element in C. 1 is in A, is it in C? Yes, so keep it. 3 and 4 are also in C, so they are also in the intersection. The last 2 elements, 5 and 9, are not in C so they can be dropped. The intersection of A and C then is {1,3,4}.
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