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Answer :
Final answer:
To represent the area constraint for Gustavo's dog run, the inequality w^2 + 9w < 220 is used, where w is the width of the rectangular run and the length is 9 feet longer than the width.
Explanation:
The question revolves around finding an algebraic inequality that defines a rectangular area with certain constraints.
Since Gustavo wants the length to be 9 feet longer than the width (w), we define the length as (w + 9) feet.
To find the area of this dog run, we multiply the width by the length, which gives us w(w + 9).
We are told the area needs to be less than 220 square feet, so we set up the inequality w^2 + 9w < 220 to represent this requirement for the maximum area of the dog run.
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