The system of inequalities for the situation is x + y ≥ 5 and 12x + 8y > 50
Writing a system of inequalities for the situation
From the question, we have the following parameters that can be used in our computation:
Sales = At least 5 video games
Unit rates = $12 for console and $8 for handheld
Total amount = More than $50
Let x represent console games and y for handheld
For the count of sales, we have
x + y ≥ 5
This is because at least means ≥
For the total amount, we have
12x + 8y > 50
This is because more than means >
Hence, the system of inequalities is x + y ≥ 5 and 12x + 8y > 50