Graphing Solution Sets of Linear Inequalities

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

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

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

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

• Solution

• Not a solution

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

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

Which inequality describes this graph...

• y < 3x - 2

• y > 3x + 2

• y < 3x + 2

• y > 3x -2

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Which graph best represents the following inequality?

• 
• 
• 
• 

Determine whether point A is a solution to the linear inequality that is shown.

• Yes

• No

• Sometimes