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Worksheet: Graphing Two-Variable Inequalities

Q1:

Which of the following figures is the correct graph of 𝑦 = 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the inequality graphed in the given figure?

  • A 𝑦 > 2
  • B 𝑦 2
  • C 𝑦 < 2
  • D 𝑦 2
  • E 𝑦 0

Q3:

Which inequality has been graphed in the given figure?

  • A 𝑦 4 𝑥 3
  • B 𝑦 > 4 𝑥 3
  • C 𝑦 3 𝑥 + 4
  • D 𝑦 < 4 𝑥 3
  • E 𝑦 < 3 𝑥 + 4

Q4:

Which inequality has been graphed in the given figure?

  • A 𝑦 2 𝑥 + 4
  • B 𝑦 > 2 𝑥 + 4
  • C 𝑦 4 𝑥 2
  • D 𝑦 < 2 𝑥 + 4
  • E 𝑦 < 4 𝑥 2

Q5:

Which inequality has been graphed in the given figure?

  • A 𝑦 3 𝑥 2
  • B 𝑦 < 3 𝑥 2
  • C 𝑦 2 𝑥 + 3
  • D 𝑦 > 3 𝑥 2
  • E 𝑦 < 2 𝑥 + 3

Q6:

Which region on the graph contains solutions to the set of inequalities

  • A B
  • B F
  • C A
  • D E
  • E C

Q7:

Which of the following figures is the correct graph of 𝑦 < 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q8:

Which inequality has been graphed in the given figure?

  • A 𝑦 > 4 𝑥 2
  • B 𝑦 4 𝑥 2
  • C 𝑦 2 𝑥 + 4
  • D 𝑦 4 𝑥 2
  • E 𝑦 < 2 𝑥 + 4

Q9:

Which of the following figures is the correct graph of 𝑦 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q10:

Which inequality has been graphed in the given figure?

  • A 𝑦 1 3 𝑥 2
  • B 𝑦 > 1 3 𝑥 2
  • C 𝑦 < 2 𝑥 1 3
  • D 𝑦 < 1 3 𝑥 2
  • E 𝑦 2 𝑥 1 3

Q11:

Which region on the graph contains solutions to the set of inequalities

  • A A
  • B C
  • C D
  • D E
  • E F

Q12:

Which of the following figures is the correct graph of 𝑦 > 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q13:

Which inequality has been graphed in the given figure?

  • A 𝑦 < 5 𝑥 5
  • B 𝑦 5 𝑥 5
  • C 𝑦 > 5 𝑥 + 5
  • D 𝑦 5 𝑥 5
  • E 𝑦 5 𝑥 + 5

Q14:

Which inequality has been graphed in the given figure?

  • A 𝑦 3 𝑥 1 4
  • B 𝑦 1 4 𝑥 + 3
  • C 𝑦 > 1 4 𝑥 + 3
  • D 𝑦 1 4 𝑥 + 3
  • E 𝑦 < 3 𝑥 1 4

Q15:

Which region on the graph contains solutions to the set of inequalities