Solutions to Systems of Inequalities Practice

Which region represents the solution to the following system of inequalities?
y ≤ x + 2
y ≤ -x+ + 4

• Region F

• Region G

• Region H

• Region J

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6

• Region A

• Region B

• Region C

• Region D

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

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

• (0,0)

• (-1,1)

• (1,-1)

• (0,-4)

• (0,1)

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

•  (0,0)

•  (4,3)

•  (3,2)

•  (2,4)

• (-3,4)

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

•  (0,0)

•  (3,1)

•  (-4,-2)

•  (3,-2)

• (-1,3)

Which two inequalities create the system pictured?

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Which of the following is a solution to the systems of inequalities?

• (0, 0)

• (-3, 0)

• (2, -5)

• (3, -1)