Systems of Inequalities

Solve the system of inequalities by graphing.

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Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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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

• A

• B

• C

• D

Which system of inequalities matches the graph?

• x> -2
  y < -4

• x< 2
  y> 4

• x >  2
  y <  4  

• x > 2
  y <- 4

Which system of inequality is shown?

• y > -1/5x - 1/2  
   y ≥ -2x - 4

• y > -1/5x - 1/2  
   y ≤ -2x - 4

• y ≥ -1/5x - 1/2
   y ≤ -2x - 4

• y < -1/5x - 1/2  
  y ≥ -2x - 4

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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Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3

• y>2x-1
  y≤-2x+3

• y<2x-1
  y≥-2x+3

• y≤2x-1
  y>2x+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