koolkota27
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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 $6,000, while keeping the purchases below $2,000. Which system of inequalities represents this scenario?

x2 – 2y ≥ 6000
2x + 5y < 2000
x2 – 2y > 6000
2x + 5y < 2000
x2 – 2y > 6000
2x + 5y ≤ 2000
x2 – 2y ≤ 6000
2x + 5y ≤ 2000

please hurry

Sagot :

shanshancupcake

The answer is the first two inequalities ........

System of inequalities represents the given scenario is equals to

[tex]x^{2} -2y \geq 6000 ,\\ 2x + 5y < 2000.[/tex]

What  is inequality?

" Inequality is defined as the relation between the variables  is represented by the sign of inequality <, >,  ≤, ≥."

According to the question,

Given,

Value of a company’s stock is represented by the expression = [tex]x^{2} -2y[/tex]  

Company’s purchases modeled = 2x + 5y

Condition given to  represent the relation of inequality,

At least means ≥

Company’s stock value ≥ 6000

Below mean <

Purchase < 2000

From above  condition the inequality relation we have,

[tex]x^{2} -2y \geq 6000 ,\\ 2x + 5y < 2000.[/tex]

Hence , [tex]x^{2} -2y \geq 6000 , 2x + 5y < 2000[/tex] is the required relation of inequality.

Learn more about inequality here

https://brainly.com/question/20383699

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