College

The value of a company's stock is represented by the expression [tex]x^2 - 2y[/tex] and the company's purchases are modeled by [tex]2x + 5y[/tex]. The company's goal is to maintain a stock value of at least $7,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?

A. [tex]x^2 - 2y > 7000[/tex]
[tex]2x + 5y < 1000[/tex]

B. [tex]x^2 - 2y \geq 7000[/tex]
[tex]2x + 5y < 1000[/tex]

C. [tex]x^2 - 2y > 7000[/tex]
[tex]2x + 5y \leq 1000[/tex]

D. [tex]x^2 - 2y \leq 7000[/tex]
[tex]2x + 5y \leq 1000[/tex]