Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.