A pharmacy claims that the average medication costs $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.

*These are my option's*

|**x − 32| ≥ 8; The medication costs range from $24 to $40 **

**|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.**

**|x − 32| ≤ 8; The medication costs range from $24 to $40 **

**|x − 32| ≤8; The medications cost less than $24 or greater than $40. **

Now, I have been pretty good with inequalities latly and understand the concept but for work for this problem it has me confused and I don't know where to start?

**THANK'S SO MUCH FOR ALL THE EFFORT IN YOU PUT INTO SOLVING THIS AND ASSITING ME!**

HiylinLink Jul 4, 2019

#1**+6 **

The medication cost is $32

But since it differs up to 8 so the inequality will maximum goes up to 8. And the medication cost $32 is a range fron $24 and $40.

Also all the other answers do not make sense with the cost of the medication. Two of them (which are B and D) say less than $24 and greater than $40 which isn't the amount of $32.

Then for A the inequality symbol is not facing the correct way. Since the medication costs $32 but differs as much as $8 then it should be greater than the absolute value.

So your answer would be C. |x − 32| ≤ 8; The medication costs range from $24 to $40.

Hope this Helps ;P

EmeraldWonder Jul 4, 2019

#1**+6 **

Best Answer

The medication cost is $32

But since it differs up to 8 so the inequality will maximum goes up to 8. And the medication cost $32 is a range fron $24 and $40.

Also all the other answers do not make sense with the cost of the medication. Two of them (which are B and D) say less than $24 and greater than $40 which isn't the amount of $32.

Then for A the inequality symbol is not facing the correct way. Since the medication costs $32 but differs as much as $8 then it should be greater than the absolute value.

So your answer would be C. |x − 32| ≤ 8; The medication costs range from $24 to $40.

Hope this Helps ;P

EmeraldWonder Jul 4, 2019