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Doss [256]
3 years ago
10

A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value ine

quality to determine the range of medication costs at this pharmacy.
A) |x − 32| ≥ 8; The medication costs range from $24 to $40
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.
Mathematics
2 answers:
Vinil7 [7]3 years ago
8 0

Answer:

Therefore, Option C is correct that is |x-32|\leq8|{\text{the medication costs range from $24to $40}.

Step-by-step explanation:

We have given medication cost $32

Since, we have given as much as 8 so the inequality will maximum goes upto 8.

|x-32|\leq8

Now, we will solve the inequality for x we will get

We will first open the modulus function by its definition we will get

which is |x| is +x  and -x

(x-32)\leq8

x=32+8=40

x=40

And -(x-32)\leq8

-x+32=8

x=24

Therefore, Option C is correct

Natali5045456 [20]3 years ago
4 0
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.
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