Graphing Systems of Inequalities

Match the system to the graph (solution set is on the left)

• y ≤ 3x

  y ≤ -2x + 4

• y > 3x

  y > -2x + 4

• y < 3x

  y > -2x + 3

• y > 3x

  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

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

Which system of inequalities is represented by this graph?

• y < -3x + 3 and y > -3x - 1

• y ≥ -3x + 3 and y ≤ -3x - 1

• y ≤ -3x + 3 and y ≥ -3x - 1

• y > -3x + 3 and y < -3x - 1

The inequality for the red line is ​ (a)   The inequality for the blue line is ​ (b)  

Which system of inequalities matches this graph?

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Select the region of the graph that is a solution to BOTH inequalities.

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