Question

Help! Will fan and medal!
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.

|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.

Answer 1

got a guess?

Answer 2

I dont know really.B looks like it might be good. But not quite sure.

Answer 3

three of these answers do not make any sense at all
the numbers are not even important, just the logic

Answer 4

Well which one is most logical?

Answer 5

let me ask you, what does "The medications cost less than $24 or greater than $40. " mean?

Answer 6

how can something cost less than $24 or more than $40?

Answer 7

like you might be $20 or else $45? does that make sense?

Answer 8

Err.. Not sure. But I'm understanding now.

Answer 9

yeah it doesn't make any sense at all
if something cost between $8 or $32, the most it could cost is \(32+8=40\) and the least would be \(32-8=24\)
in other words in simple english it cost between $24 and $40

Answer 10

in math you would write this as \(24\leq x\leq 40\) if \(x\) was the cost

Answer 11

in simple english "The medication costs range from $24 to $40"

Answer 12

Well yeah. Thats what I was thinking. So is it maybe A?

Answer 13

maybe , but no

Answer 14

C?

Answer 15

to say the difference between \(x\) and \(32\) is LESS THAN OR EQUAL TO $8, you would write
\[|x-32|\leq 8\]

Answer 16

So it has to be either C or D?

Answer 17

I think its c.

Answer 18

It was c. Thanks @satellite73 you rock :)