A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha
n 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
1 answer:
Let us say that h is the height of the guardrail.
Therefore the inequality equation that we can generate from this scenario is:
| h – 106 | = ± 7
There are two ways to solve this, either the equation is
positive or negative.
When the equation is positive, therefore:
| h – 106 | = 7
h = 7 + 106 = 113 cm
When the equation is negative, therefore:
| h – 106 | = - 7
h = -7 + 106 = 99 cm
So the height must be 99 cm to 113 cm
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