Solutions and Non-Solutions Systems of Inequalities

Which ordered pair is NOT included in the solution set for the system?

• (-2, 0)
• (0, 0)
• (1, -2)
• (2, 0)

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

Which of the following systems of inequalities has NO solution?

• x ≥ 2y + 6
  y > ½x + 2
• y + 3x < 4
  y < -3x + 2
• 2x + 3y > 6
  3x + 2y ≤ 10
• x - y ≥ 0
  y < -4x + 8

Which graph best represents the solution to the following system of inequalities?
y ≤ -x + 4
y > -1

• Graph A
• Graph B
• Graph C
• Graph D

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

When you graph an inequality, you used a solid line when you use which symbols?

• ≤, ≥ 
• <, >

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >
• ≤, ≥ 

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, 20)
• (3, 5)
• (0, -2)

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)