The height h of a guardrail = 106 centimeters
absolute deviation = 7 centimeters
To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)
The acceptable range of height is 7 cm away from 106 to the left and then to the right.
106 + 7 = 113
106 - 7 = 99
acceptable heights are defined by
99 <=h<=113
The absolute value inequality is |x-106|<=7
The acceptable range of heights of a guardrail are 99 cm to 113 cm.
We want to write an absolute value equation for the acceptable range of the height of a guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
And the absolute value equation is: |h - 106cm| ≤ 7cm
We know that the height should be 106cm with an absolute deviation of no more than 7 cm.
So the maximum height is:
106cm +7cm = 113cm
The minimum is:
106cm -7cm = 99cm
The absolute value equation that represents this is:
|h - 106cm| ≤ 7cm
Where h is the height of the guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
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https://brainly.com/question/2166748
