Systems on Inequalities

Select the correct graph for each inequality.

• A

• B

• C

• D

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Select the correct graph for each inequality.

• A

• B

• C

• D

Select the correct graph for each inequality.

• A

• B

• C

• D

What is the boundary line (symbol) of the graph?

• less than

• less than or equal to 

• greater than 

• greater than or equal to 

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

Is (0,0) a solution to the system?

• Solution

• Not a solution

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

• Solution

• Not a solution

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