Question

A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.

a
|x − 32| ≥ 8

b
|x − 8| ≥ 32

c
|x − 32| ≤ 8

d
|x − 8| ≤ 32

Answer 1

Explanation:

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24. Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8

|-2| ≤ 8

2 ≤ 8

Option C is correct.

Credit to: SchwarzschildRadius