Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Set Theory
Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.
Question
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Chapter 10.3, Problem 15E
To determine

To find: The union and intersections of the given sets.

Expert Solution & Answer
Check Mark

Answer to Problem 15E

The union of the given set is {2,3,4,6,8,10,12} and intersection of the given set is {4,6,8} .

Explanation of Solution

Given,

The given sets is,

  {3,4,6,8,12},{2,4,6,8,10}

Calculation:

The union of two sets has the combined elements and the intersection of two sets has those elements that are common.

Calculate the union,

  {3,4,6,8,12}∪{2,4,6,8,10}={2,3,4,6,8,10,12}

Calculate the intersection,

  {3,4,6,8,12}∩{2,4,6,8,10}={4,6,8}

Thus, the union of the given set is {2,3,4,6,8,10,12} and intersection of the given set is {4,6,8} .

Previous
Chapter 10.3, Problem 14E
Next
Chapter 10.3, Problem 16E

Chapter 10 Solutions

Algebra: Structure And Method, Book 1

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
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