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Chapter 3: Chapter 3

Problem 24

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If \(\mathrm{a}=\\{1,2,3,4,5)\) and \(\mathrm{b}=\\{2,3,4,5,6\\}\), find a n \(\mathrm{b}\).

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a ∩ b = \(\\{2, 3, 4, 5\\}\)
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TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Write down the sets in a clear manner

Write a = {1, 2, 3, 4, 5} and b = {2, 3, 4, 5, 6}. Having the sets clearly displayed will make it easier for us to identify which elements are in both sets.

Step 2: Compare the elements in both sets

Take each element in set a and check if it exists in set b. If it does, add that element to the intersection.

Step 3: Find the intersection of set a and set b

Compare the elements, one by one: 1. 1 is in set a, but not in set b. 2. 2 is in both set a and set b, so 2 is added to the intersection. 3. 3 is in both set a and set b, so 3 is added to the intersection. 4. 4 is in both set a and set b, so 4 is added to the intersection. 5. 5 is in both set a and set b, so 5 is added to the intersection. 6. 6 is in set b, but not in set a. After comparing all the elements, we have the intersection of set a and set b to be {2, 3, 4, 5}. Therefore, a ∩ b = {2, 3, 4, 5}.

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