Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 35

A∩ ∅ = {} = ∅

Work Step by Step

A∩∅ U = {1,2,3,4,5,6,7} A = {1,3,5,7} The set A∩ ∅ represents the elements which are common in both A and $\lt$ ∅ (∅ represent empty set). Therefore the common elements of A and ∅ is an empty set. Therefore A∩ ∅ = {} = ∅

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