Concept explainers
To Solve: Absolute value equation and find maximum and minimum heights
Answer to Problem 76PPE
Minimum height is 4.75 feet
Maximum height is 5.25 feet
Explanation of Solution
Given information: Recommended height of a horse fence is 5 ft. The actual height of the fence can vary upto 3 in.
Solve: Let x be the actual height of the fence. The difference between the actual height and the recommended height is 3 in that is equal to 0.25 feet because
The inequality becomes
To solve the absolute value inequality, we write the inequality as a compound inequality
Minimum height is 4.75 feet
Maximum height is 5.25 feet
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