Graphing Systems of Inequalities Practice

Solve the system of inequalities: y < 3x + 2 and y > -x + 4. Graph the solution set on a coordinate plane.

• The solution set is the area above the lines y = 3x + 2 and y = -x + 4.

• The solution set is the area to the left of the lines y = 3x + 2 and y = -x + 4.

• The solution set is the area below the lines y = 3x + 2 and y = -x + 4.

• The solution set is the area between the lines y = 3x + 2 and y = -x + 4.

Tags

CCSS.HSA.REI.D.12

Find the solution set for the system of inequalities: y > 2x - 1 and y < x + 3. Graph the solution set on a coordinate plane.

• The solution set is the region above the lines y = 2x - 1 and y = x + 3.

• The solution set is the region to the left of the lines y = 2x - 1 and y = x + 3.

• The solution set is the region between the lines y = 2x - 1 and y = x + 3.

• The solution set is the region below the lines y = 2x - 1 and y = x + 3.

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities: y > 2x + 1 and y < -x + 5. Graph the solution set on a coordinate plane.

• The solution set is the region above the line y = 2x + 1 and below the line y = -x + 5.

• The solution set is the region below the line y = 2x + 1 and above the line y = -x + 5.

• The solution set is the region below the line y = 2x + 1 and below the line y = -x + 5.

• The solution set is the region above the line y = 2x + 1 and above the line y = -x + 5.

Tags

CCSS.HSA.REI.D.12

Find the solution set for the system of inequalities: y ≤ -2x + 4 and y > x - 1. Graph the solution set on a coordinate plane.

• The solution set is the region below the line y = -2x + 4 and above the line y = x - 1.

• The solution set is the region above the line y = -2x + 4 and below the line y = x - 1.

• The solution set is the region below the line y = -2x + 4 and below the line y = x - 1.

• The solution set is the region above the line y = -2x + 4 and above the line y = x - 1.

Tags

CCSS.HSA.REI.D.12

What is the inequality represented by the BLUE region of the graph?

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12