Solving Systems of Inequalities

Select the correct graph for each inequality.

• A

• B

• C

• D

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 point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

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

• Solution

• Not a solution

Which system of inequality is shown?

• y > -1/5x - 1/2

  y ≥ -2x - 4

• y > -1/5x - 1/2

  y ≤ -2x - 4

• y ≥ -1/5x - 1/2

  y ≤ -2x - 4

• y < -1/5x - 1/2

  y ≥ -2x - 4

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

• 
• 
• 

If I have a system of parallel inequalities the answer is always no solution?

• True, the shaded regions will not overlap

• False, the shaded regions could overlap

Select ALL the ordered pairs that are solutions to the System of inequalities?

• (0, 6)

• (-3, 4)

• (1, 0)

• (4, 3)

• (5, -5)