System of Equations

Question

The value of a company’s stock is represented by the expression x² – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?

 x² – 2y > 5000

2x + 5y < 1000

 x² – 2y > 5000

2x + 5y ≤ 1000

 x² – 2y ≥ 5000

2x + 5y < 1000

 x² – 2y ≤ 5000

2x + 5y ≤ 1000

Answer 1

The symbol for "at least 5000" is ≥ 5000.

The symbol for "below 1000" is < 1000.

The right answer is:

 x² – 2y ≥ 5000

2x + 5y < 1000