Systems of Inequalities

Is (1,1) a solution?

• Yes

• No

Which of the following are solutions to the system represented by this graph? Check all that apply.

• (0, 0)

• (-1, 1)

• (0, -1)

• (-1, 0)

• (1, 0)

Which of the following systems would have the solution set shown in the graph?  [Look at all the answer choices carefully!]

• y > x + 4  and  y > –x – 1

• y < x + 4  and  y > –x – 1

• y < x + 4  and  y > –x + 1

• y > x + 4  and  y > x – 1

Which system of inequalities has a solution set represented by this graph? Make sure you read all of the answer choices carefully!

• y ≤ 2 and y > 2x – 4

• x ≤ 2 and y > 2x – 4

• y ≤ 2 and y < 2x + 4
  

• x ≤ 2 and y < 2x + 4
  

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

Which system of inequalities matches the graph?

• x> –2

  y < –4

• x< 2

  y> 4

• x > 2

  y < 4

• x > 2

  y < –4

Which of the systems below has a solution set described by this graph? Make sure you read all the answer choices carefully!

• x − y < 2

  x < 3

• x + y > 2

  x > 3

• x + y < 2

  y < 3

• x + y < 2

  y > 3

The ordered pair (1, 4) is a solution to which of the following systems? Check all that apply.

• x + y < 4

  2x + y > 7

• x − y < 4

  2x + 6 > 8

• x − y > −4

  2y + 6 > 8

• y − x < 4

  2x − y > 10

Which of the following systems has the solution set shown in the graph? Make sure you read all of the answer choices carefully!

• x < 2 and x > −2

• y < 2 and y > −2

• x > 2 and x < −2

• y > 2 and y < −2

If an ordered pair lies on both a solid and a dotted boundary of a solution set to a system of inequalities, is that ordered pair a solution to the system?

• Yes

• No