Systems of Linear Inequalities

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Tags

CCSS.HSA.REI.D.12

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6

• Region A
• Region B
• Region C
• Region D

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

Which ordered pair is NOT included in the solution set for the system?

• (-2, 0)
• (0, 0)
• (1, -2)
• (2, 0)

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

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

Tags

CCSS.HSA.REI.D.12

Which region in the graph shown represents the solution to the following system of linear inequalities?
y < - 6 + 2x
3y ≤ x - 6

• Region A
• Region B
• Region C
• Region D

Tags

CCSS.HSA.REI.D.12

Which ordered pair is a solution to the given system?

• (5,0)

• (1,-3)

• (3,3)

• (2,1)

Tags

CCSS.HSA.REI.D.12

Rewrite this inequality in "y=" form to graph. 
3x - 6y > 12

• y > ¹/₂x - 2
• y < -¹/₂x + 2
• y < ¹/₂x - 2
• y > -3x - 2

Tags

CCSS.HSA.REI.D.12