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, Problem 4CT
To determine

To find: the pair whose sum is least.

Expert Solution & Answer
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Answer to Problem 4CT

Two consecutive odd integers are 37 and 39.

Explanation of Solution

Given information:

Of all pairs of consecutive odd integers whose sum is greater than 75

Formula used:

  1. Simplify each side of the inequality as needed.
  2. Use the inverse operations to undo any additions or subtractions.
  3. Use the inverse operations to undo any multiplications or divisions.

Calculation:

Let the first odd integer be x.

Let the other odd integer be (x+2).

According to the question,

  =x+(x+2)>75=x+x+2>75=2x+2>75=2x+2−2>75−2=2x>73=2x2>732=x>732=x>36.5

This implies that

  x=37 and (x+2)=37+2=39.

Therefore, the first odd integer will be 37 and the other odd integer will be 39.

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Chapter 10, Problem 3CT
Next
Chapter 10, Problem 5CT

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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