Write an absolute value inequality that represents the situation.

The length of a standard basketball court can vary from 84 feet to 94 feet, inclusive.





Respuesta :

Answer:

|x - 89| ≤ 5  

Step-by-step explanation:

Here the range is 84 to 94 ft, with the midpoint being 89 and the greatest variation from the midpoint being ±5.  

We adapt |x| ≤ a as follows:  replace x with 'x - 89' and a with 5:

|x - 89| ≤ 5  

It is customary to regard '89' as the 'center' of the solution interval and 5 as the 'maximum difference' or 'radius' separating x from this center.