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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!

 Jul 4, 2019

Best Answer 

 #1
avatar+216 
+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

 Jul 4, 2019
edited by EmeraldWonder  Jul 4, 2019
 #1
avatar+216 
+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
edited by EmeraldWonder  Jul 4, 2019
 #2
avatar+476 
+3

Thanks alot anderson! ; )

HiylinLink  Jul 4, 2019
 #3
avatar+216 
+5

Your Very Welcome, Wizard ;P

EmeraldWonder  Jul 4, 2019
edited by EmeraldWonder  Jul 4, 2019

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