Create Systems of Inequalities

Which two inequalities create the system pictured?

Which two inequalities create the system pictured?

Which points are solutions to the system of inequalities. Select all that apply.

• (2,2)

• (0,0)

• (4,1)

• (0,1)

• (3,-1)

Which points are solutions to the system of inequalities? Select all that apply.

• (0,0)

• (-1,1)

• (1,-1)

• (0,-4)

• (0,1)

• A

• B

• C

• D

Katie works part-time at the Fallbrook Riding Stable. She makes $5 an hour for exercising horses and $10 an hour for cleaning stalls. Her goal is to make no less than $90 a week. Because Katie is a full-time student, she cannot work more than 12 hours per week and still maintain a high GPA. Write a system of equations that model this situation.

• 5x + 10y > 90

  x + y < 12

• 5x + 10y < 90

  x + y < 12

• 5x + 10y < 90

  x + y >12

• 5x + 10 > 90

  x + y < 12

• A

• B

• C

• D

Using inequalities shown, create a system of two inequalities that could be represented by this graph.

Using inequalities shown, create a system of two inequalities that could be represented by this graph.

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?