Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.1 - Sets - Exercises: 5

Answer

a) Both sets are equal b) The two sets are not equal c) The two sets are not equal

Work Step by Step

a) The 2 sets are equals because they both have the same elements: 1, 3 and 5. It is important to note that the order and repetitions of some elements do not matter. b) The first set has 1 set as an element. The second set has the element 1 and 1 set as elements. So they are not equals (1 element versus 2 elements) c) The first one is an empty set, it has nothing, or 0 elements. The second set is a set of 1 element (The element in that set is an empty set). (0 element versus 1 element). So they are not equal.
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