To write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
Answer to Problem 30CR
The height must be at least 99 centimeters and at most 113 centimeters.
Explanation of Solution
Given information:
A safety regulation states that the height of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters.
Calculation:
Assume that
This deviation should be no more than 7 centimeters. Hence, the absolute value inequality is,
Write the inequality
Add 106 to each side,
Thus, the solution is
It can be seen from the above solution that the height must be at least 99 centimeters and at most 113 centimeters.
Chapter 2 Solutions
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