Answer:
[tex]99\leq h\geq 113[/tex]
Step-by-step 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:
[tex]|h-106|\leq 7[/tex]
Now, we solve the inequality.
[tex]-7\leq h-106\geq 7[/tex]
Add 106 in whole equation.
[tex]-7+106\leq h-106+106\geq 7+106[/tex]
[tex]99\leq h\geq 113[/tex]
Therefore, the height of the guardrail must be 99 cm to 113 cm.
