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The average starting salary for a graphic designer is $35,500, but the actual salary could
differ from the average by as much as $3,500. Write an absolute value inequality to
describe this situation.

The average starting salary for a graphic designer is 35500 but the actual salary could differ from the average by as much as 3500 Write an absolute value inequ class=

Respuesta :

oladayoademosu

Our absolute value inequality is |A -  $ 35500| ≤ $ 3500

Let A be the actual salary of the graphic designer.

Since the actual salary differs from the average salary by $3,500 and the average salary is $35,000, we have that the inequality showing this relationship is

$35500 - $3500 ≤ A ≤ $ 35500 + $3500

$32000 ≤ A ≤ $ 39000

We then take the average of the two end values.

($ 32000 + $ 39000)/2 = $ 71000/2 = $ 35500

Subtracting $ 35500 from every side of the inequality, we have

$32000 - $ 35500 ≤ A -  $ 35500 ≤ $ 39000 - $ 35500

- $3,500 ≤ A -  $ 35500 ≤ $ 3500

Since our last inequality is our expression for absolute value with less than, we have

|A -  $ 35500| ≤ $ 3500

So, our absolute value inequality is |A -  $ 35500| ≤ $ 3500

Learn more about absolute value inequalities here:

https://brainly.com/question/13344207

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