Answer:
[tex]7l^2>3(200l-l^2)[/tex]
Explanation:
First, determine the area of the avocado square farm.
[tex]Area=l^2[/tex]
The money she earns from the avocado farm is:
[tex]\text{Income}=\$7\times l^2=7l^2[/tex]
Next, determine the area of where she lives:
[tex]\begin{gathered} \text{Length of the house area}=l\text{ meters} \\ \text{Width of the house area}=(200-l)\text{ meters} \\ \implies\text{Area}=l(200-l)\text{ square meters} \end{gathered}[/tex]
The amount she spends per square meter on the area where she lives is $3.
Thus, total expenditure:
[tex]\text{Expenses}=\$\; 3l(200-l)=3(200l-l^2)[/tex]
Recall that Riley manages to save some money every week. This means that her income is greater than her expenditure.
Thus, the inequality is:
[tex]7l^2>3(200l-l^2)[/tex]
