Graphing Linear Inequalities & Solving Systems of Inequalities

Why would a linear inequality graph have a dashed line (instead of a solid line)?

• It has an equal sign.

• The symbol is greater than or equal to (≥) or less than or equal to (≤)

• The symbol is greater than (>) or less than (<)

• You just guess.

Select the correct graph for the inequality.

• A

• B

• C

• _D

Match the system to the graph (solution set is the purple area)

• 4x + 5y > -5

  -2x + 3y ≤ 9

• 4x + 5y ≥ -5

  -2x + 3y ≤ 9

• 4x + 5y < -5

  -2x + 3y < 9

• 4x + 5y < -5

  -2x + 3y ≥ 9

Tags

CCSS.HSA.REI.D.12

Select the correct graph for the inequality.

• A

• B

• C

• D

Select the correct graph for the inequality.

• A

• B

• C

• D

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

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

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

Which system of inequalities matches the graph?

• 2x - y < 4

  y < -2

• 2x - y > 4

  y < 2

• 2x - y < 4

  y < 2

• 2x - y > 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

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.