Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises: 41


(a) {1, 2, 3, 4, 5, 6, 7, 8} (b) {2, 4, 6}

Work Step by Step

a) To find the set of the union of A and B, first, we turn to what we know about unions: they are the set that consists of all elements that are in A or B (or in both). Thus: A = {1, 2, 3, 4, 5, 6, 7} B = {2, 4, 6, 8} Union of two given sets is the smallest set which contains all the elements of both the sets. To find the union of two given sets A and B is a set which consists of all the elements of A and all the elements of B such that no element is repeated. Thus, the union of A and B is: {1, 2, 3, 4, 5, 6, 7, 8} b) An intersection of two sets contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements. Or, in other words, is made up of elements common to A and B. Thus, the intersection of A and B is: {2, 4, 6}
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