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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Chapter 10.6, Problem 23WE
To determine

To find: Whether the statement is true for all real values of variable or false for some real value. If the statement is false given at least one value of variable for which the statement is false.

Expert Solution & Answer
Check Mark

Answer to Problem 23WE

The statement |a+1|≤|a|+1 is true for all real values of the variable.

Explanation of Solution

Given:

The given equation is |a+1|≤|a|+1 .

Calculation:

Consider the given statement is,

  |a+1|≤|a|+1

Consider the value of a=2 . Then,

  |2+1|≤|2|+13≤3

The above statement is true.

Consider the value of a=−3 . Then,

  |−3+1|≤|−3|+12≤4

The above statement is true.

Thus, the statement |a+1|≤|a|+1 is true for all real values of the variable.

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Chapter 10.6, Problem 22WE
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Chapter 10.6, Problem 24WE

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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