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A safety regulation states that the height h of a guardrail shall be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable height of a guardrail.

User Flycee
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1 Answer

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Answer:


99\leq h\geq 113

Explanation:

Given:

Height of the guardrail = 106 cm

Deviation in height = 7 cm.

We need to write the inequality that represents the acceptable height of a guardrail.

Solution:

From the given statement the height of the guardrail is 106 cm with 7 cm deviation.

So, we write the absolute value inequality as:


|h-106|\leq 7

Now, we solve the inequality.


-7\leq h-106\geq 7

Add 106 in whole equation.


-7+106\leq h-106+106\geq 7+106


99\leq h\geq 113

Therefore, the height of the guardrail must be 99 cm to 113 cm.

User Feupeu
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