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

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 10.3, Problem 24E
To determine

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

Expert Solution & Answer
Check Mark

Answer to Problem 24E

The set P∪(Q∩R) represents the number greater than −3 .

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 24E

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 union of P and the intersection of Q and R include number greater than −3 .

Therefore, the set P∪(Q∩R) represents the number greater than −3 .

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Chapter 10.3, Problem 23E
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Chapter 10.3, Problem 25E

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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