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 23E
To determine

To describe: The set P∩(Q∩R) by using number lines.

Expert Solution & Answer
Check Mark

Answer to Problem 23E

The set P∩(Q∩R) represents the number greater than −1 but less than 2 .

Explanation of Solution

Given:

The sets are as follows.

  P={the real numbers greater than −1}Q={the real numbers between −3 and 3}R={the real numbers less than 2}

The number lines are as follows.

  Algebra: Structure And Method, Book 1, Chapter 10.3, Problem 23E

Calculation:

To get the intersection of two sets, get the values common to the two sets and the union of two sets is the combination of the elements of those sets.

Since the intersection of Q and R includes real number greater than −3 but less than 2 , the intersection of P and the intersection of Q and R include number greater than −1 but less than 2 .

Therefore, the set P∩(Q∩R) represents the number greater than −1 but less than 2 .

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Chapter 10.3, Problem 22E
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Chapter 10.3, Problem 24E

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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Prob. 14OECh. 10.5 - Prob. 15OECh. 10.5 - Prob. 16OECh. 10.5 - Prob. 17OECh. 10.5 - Prob. 18OECh. 10.5 - Prob. 1WECh. 10.5 - Prob. 2WECh. 10.5 - Prob. 3WECh. 10.5 - Prob. 4WECh. 10.5 - Prob. 5WECh. 10.5 - Prob. 6WECh. 10.5 - Prob. 7WECh. 10.5 - Prob. 8WECh. 10.5 - Prob. 9WECh. 10.5 - Prob. 10WECh. 10.5 - Prob. 11WECh. 10.5 - Prob. 12WECh. 10.5 - Prob. 13WECh. 10.5 - Prob. 14WECh. 10.5 - Prob. 15WECh. 10.5 - Prob. 16WECh. 10.5 - Prob. 17WECh. 10.5 - Prob. 18WECh. 10.5 - Prob. 19WECh. 10.5 - Prob. 20WECh. 10.5 - Prob. 21WECh. 10.5 - Prob. 22WECh. 10.5 - Prob. 23WECh. 10.5 - Prob. 24WECh. 10.5 - Prob. 25WECh. 10.5 - Prob. 26WECh. 10.5 - Prob. 27WECh. 10.5 - Prob. 28WECh. 10.5 - Prob. 29WECh. 10.5 - Prob. 30WECh. 10.5 - Prob. 31WECh. 10.5 - Prob. 32WECh. 10.5 - Prob. 33WECh. 10.5 - Prob. 34WECh. 10.5 - Prob. 35WECh. 10.5 - Prob. 36WECh. 10.5 - Prob. 37WECh. 10.5 - Prob. 38WECh. 10.5 - Prob. 39WECh. 10.5 - Prob. 1MRECh. 10.5 - Prob. 2MRECh. 10.5 - Prob. 3MRECh. 10.5 - Prob. 4MRECh. 10.5 - Prob. 5MRECh. 10.5 - Prob. 6MRECh. 10.5 - Prob. 7MRECh. 10.5 - Prob. 8MRECh. 10.5 - Prob. 9MRECh. 10.5 - Prob. 10MRECh. 10.6 - Prob. 1OECh. 10.6 - Prob. 2OECh. 10.6 - Prob. 3OECh. 10.6 - Prob. 4OECh. 10.6 - Prob. 5OECh. 10.6 - Prob. 6OECh. 10.6 - Prob. 7OECh. 10.6 - Prob. 8OECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.6 - Prob. 25WECh. 10.6 - Prob. 1MRECh. 10.6 - Prob. 2MRECh. 10.6 - Prob. 3MRECh. 10.6 - Prob. 4MRECh. 10.6 - Prob. 5MRECh. 10.6 - Prob. 6MRECh. 10.6 - Prob. 7MRECh. 10.6 - Prob. 8MRECh. 10.6 - Prob. 9MRECh. 10.6 - Prob. 10MRECh. 10.6 - Prob. 11MRECh. 10.6 - 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