Systems of Inequalities

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans she plants and $3,000 for every acre she plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

• x≥0

  y≥0

  x+y≥6

  3x+2y≥15

• x≥0

  y≥0

  x+y≤6

  2x+3y≤15

• x≥0

  y≥0

  4000x+y≤6

  2x+600y≤15

• P=4000x+3000y

Match

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

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

• (-1, -3)

• (3, 0)

• (-2, 2)

• (4, 1)

When you graph the system:

y > -2x + 1

y ≤ x + 3

Which of the following is a solution?

• (2, 0)

• (-1, 2)

• (0, 4)

• (0, -4)

Select the correct graph for each inequality.

• A

• B

• C

• _D

Graph the system of inequalities.

• A

• B

• C

• D

Which of the following is not a solution to this system of inequalities?

• (0,-4)

• (0,3)

• (4,0)

• (6,-2)

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-3, 5)

• (20, -5)

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (-4, 0)

• (2, 2)

• (3, 1)

Solve the system of inequalities by graphing.

• A

• B

• C

• D