Question

Write an absolute value inequality to model the situation described: The price for a certain box of Legos varies based on demand. The average price is $39 but it can be up to $9 higher or lower.​

Answer 1

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;

• x = $39 ± $9

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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