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
B
am+8
C
am8
D
8am8

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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