Solving System of Inequalities

Which of the following systems of inequalities matches the diagram?

• x + y ≥ 0

  y ≤ x + 4

  y > (x + 2)² + 1

• x + y > 0

  y < x + 4

  y ≥ (x + 2)² + 1

• y > x

  y < x − 4

  y ≥ (x − 2)² + 1

• y ≥ x

  y ≤ x − 4

  y > (x − 2)² + 1

 

Which of the following systems of inequalities matches the diagram?

• x ≥ − 1

  y ≤ 2x − 2

  x² + (y − 2)² < 5

• x ≤ − 1

  y ≥ 2x − 2

  x² + (y − 2)² > 5

• y ≤ − 1

  y ≥ 2x − 2

  (x − 2)² + y² > 9

• y ≥ − 1

  y ≤ 2x − 2

  (x − 2)² + y² < 9

Which of the following diagrams matches the system of inequalities below?

− 4x + 3y > − 12

2x + 3y > 6

y < 3

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Which of the following diagrams matches the system of inequalities below?

x ≤ 0

y > x² − 4

y ≤ x + 2

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Which of the following diagrams matches the system of inequalities below?

y + x ≤ 2

y − x² > 0

x ≤ 0

y ≥ 1

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Which of the following diagrams matches the system of inequalities below?

y + 3x > 3

(x – 1)² + y² ≤ 4

y ≥ 0

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Which of the following diagrams matches the system of inequalities below?

x > – 1

x + y < 0

x² + y² ≤ 4

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Which system of inequalities matches the graph?

• x> -2
  y < -4

• x< 2
  y> 4

• x >  2
  y <  4  

• x > 2
  y <- 4

Select the correct graph for each inequality.

• A

• B

• C

• _D

which equation best represents this graph?

• y < 1/2x + 1

• y < 1/2x + 2

• y >1/2x + 2

• y > 2x