Here, we are required to write an absolute value inequality to model the situation described in the question.
- An absolute value inequality to model the situation described is; 30 ≤ x ≤ 48
According to the question: the average price for a certain box of Legos varies based on demand, with the average price being $39.
- The statement above can be write hypothetically as; x = $39.
However, the question further describes that the price can be up to $9 higher or lower than the average price.
In essence, this means that;
That is the value of x ranges from;
(39 - 9) to (39 + 9)
i.e 30 to 48
An absolute value inequality to model this situation is therefore;
30 ≤ x ≤ 48
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