Graphs Systems of Inequalities Word Problems Positive Solutions

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Select the correct graph for each inequality.

• A

• B

• C

• D

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Select the correct graph for each inequality.

• A

• B

• C

• D

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Write the system of inequalities Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x + y ≤ 300

  7.5x + 5.5y ≥ 2000

• x + y < 300

  7.5x + 5.5y ≥ 2000

• x + y ≤ 300

  7.5x + 5.5y ≤ 2000

• x + y > 2000

  7.5x + 5.5y ≤ 300

Which points are a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 2)

• (3, 5)