A contruction company perpares an estimate to intall a new pool for a home owner. The estimate includes h hours of labor, where `hgt80`. 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 goals 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?

Options

A. `a+hle8`
B. `ageh+8`
C. `aleh+8`
D. `-8lea-hle8`

Answer

D

Explanation

Difficult:Medium:
Category: Heart of Algebra/ Inequalities
Strategic Advice: You can use an absolute value to represent an unknown difference that is described as "within" a certain amount-you don't know whether the end result is more or less, but you do know it is within a certain range.
Getting to the Answer: The difference between the actual number of hours of labor, a, and the number of hours the company estimated, h, is |a-h|. If the company meets their goal, the difference is less than 8, which can 8, which can be represeneted as `|a-h|le8 or -8lea-hle8`. This means (D) is correct.