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

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Sun Sep 11 2022

Given :

Average medication cost = $32

Possible difference in cost = $8

So, according to question,

|x - 32| ≤ 8

Here, x is cost of medication.

Opening modules function, we get

x - 32 ≤ 8

Adding 32 on both sides, we get

x - 32 ≤ 8 + 32

x ≤ 40

And,

-(x - 32) ≥ 8

Hence, cost of medication is greater than or equal to 24 and less than or equal to 40.