Representing Solutions of Linear Inequalities in Two Variables on a Graph

What two inequalities were used to make this graph?

• y<1x-2, y>3x-5

• y ≥1x-2, y≤3x-5

• y≤1x-2, y ≥3x-5

• y>1x-2, y<3x-5

Given the graph, determine which is NOT a solution.

• (0, 0)

• (2, -1)

• (-2, -2)

• (-5, 1)

State three linear inequalities that define the shaded region.

Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

• 
• 
• 
• 

Which point is a solution to the system of inequalities?

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

Which system of inequalities is represented by the graph?

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

What type of lines will be drawn for this system?

• Two dotted lines

• Two solid lines

• One solid line and one dotted line

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

which side of the origin would you fill in for

y<0?

• right

• left

• top

• bottom

Which of the following statements is not true for this inequality graph?

• the slope of the line is positive

• the points on the line are solutions

• the origin is not a solution

• the point (8,0) is a solution