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. 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
|g-24995| < 1000
That is, if exactly $1000 off loses.
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The absolute value inequality that represents this situation is:
|g - 24995| ≤ 1000
To represent the situation where the contestant's guess is within $1000 of the price of the car, we can use an absolute value inequality.
The contestant's guess is represented by g, and let's denote the price of the car as $24,995.
To find an absolute value inequality that represents this situation, we need to consider two conditions:
1. The guess is greater than or equal to $24,995 minus $1000: g ≥ 24,995 - 1000
2. The guess is less than or equal to $24,995 plus $1000: g ≤ 24,995 + 1000
Combining these conditions using absolute values, we get:
|g - 24,995| ≤ 1000
So, the absolute value inequality that represents this situation is |g - 24,995| ≤ 1000.