Systems of Inequalities as Shapes

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

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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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 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

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

Which system of inequalities is described by this graph?

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

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

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)