Rewrite Inequalities in Two Variables

Select the solution of the inequality

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Choose the correct inequality for this graph.

Choose the correct inequality for this graph.

Choose the correct inequality for this graph.

A student is buying hot chips and sodas from the corner store. She can choose any combination of chips and sodas, and she does not want to spend more than $20. If hot chips cost $2.50 each and sodas costs $1.75 each, which inequality represents all possible combinations of x hot chips and y sodas?

• 2.5x + 1.75y ≥ 20

• 2.5x + 1.75y ≤ 20

• 2.5x + 1.75y < 20

• 1.75x + 2.5y ≥ 20

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents the amount of time available?

• 2x + 3y ≤ 18

• x + y ≤ 6

• x + y ≤ 9

• 3x + 2y > 18

Justin charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130. Write an inequality that describes the situation. Let x = # of small lawns mowed and Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y > 130

• 11x + 26y ≤ 130

• 11x + 26y < 130

Nerolin is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

It takes Sarah 2 hours to make small purses (x) and 3 hours to make big purses(y). She can work for no more than 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18

• x + y ≤ 6

• x + y ≤ 9

• 3x + 2y ≤ 18

You are running the concession stand at a basketball game. You sell hot dogs for $2 and sodas for $0.75.  To cover overhead expenses, you need to make more than $180.  Write an inequality to find how many hot dogs and sodas you need to sell. Let x equal the number of hot dogs and y equal the number of sodas.

• y > x + 180

• x + y > 180

• 0.75x + 2y > 180

• 2x + 0.75y > 180