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Question

ABC company wants to construct a hall for its monthly townhall.The estimation comprises $$m$$ hours of labor, where $$m > 80$$. The company's goal is for the estimate to be within $$8$$ hours of the actual number of hours of labor.If the company meets the goal and it takes $$a$$ hours of actual labor, which inequality represents the relationship between the estimated number of hours of labor and the actual number of hours of labor ?


A
a+m8
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B
am+8
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C
am8
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D
8am8
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Solution

The correct option is D $$-8 \leq a-m \leq 8$$
The number of hours of actual labor is $$a$$
The estimated number of hours of labor is $$m$$
The difference between them must be less than or equal to $$8$$
$$\Rightarrow |a-m| \le 8$$
$$\Rightarrow -8 \le a-m \le 8$$

Mathematics

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