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3. The average value of a vintage car at a car show is $92,000, but the actual value of a car could differ by as much as $22,000.

(a) What absolute value inequality represents the range of values for the vintage cars at the car show?

(b) Solve the inequality. What is the range of values of cars at the car show?

Respuesta :

Answer: a. |x-92000|<=22000

b. 70000<=x<=114000

Step-by-step explanation:

a. x=actual value of car

|x-92000|<=22000   ==> as much as means at most 22000. The difference between x and 92000 is 22000, which can be expressed in absolute value since the difference shouldn't be negative.

b. |x-92000|<=22000

x-92000<=22000

x-92000+92000<=22000+92000

x<=114000

x-92000>=-22000

x-92000+92000>=-22000+92000

x>=92000-22000

x>=70000

70000<=x<=114000

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