Linear Inequalities and Systems of Inequalities and Linear Programming

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

• Solution
• Not a solution

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

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 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

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

• Solution
• Not a solution

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)
• (2, 1)
• (2, 2)
• (-1, 1)

Which of the following is a solution to this system of inequalities?

• (-5,2)
• (0,0)
• (-3,3)
• (-4,0)

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