Concept explainers
To find: the range of acceptable lengths of the nail.
Answer to Problem 57CR
The range of acceptable lengths of the nail is between 19.6 mm and 20.4 mm.
Explanation of Solution
Given:
The ideal length of nail = 20 mm
The actual length can vary from ideal length by at most 0.4 mm.
Concept Used:
An absolute value inequality
Let the actual length of the nail be x mm.
Then the difference between the actual length and ideal length of nail is =
But it is given that this difference can be at most 0.4 mm.
So, the given statement can be written in the inequality form as,
Write as compound inequality,
Add 20 to all sides of the above inequality,
Simplify,
Conclusion:
The range of acceptable lengths of the nail is between 19.6 mm and 20.4 mm.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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