Worksheet: Two-Variable Linear Inequalities

In this worksheet, we will practice graphing two-variable linear inequalities.

Q1:

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

  • A
  • B
  • C
  • D
  • E

Q2:

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 3 𝑥 + 4
  • E 𝑦 < 4 𝑥 3

Q3:

What is the inequality graphed in the given figure?

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

Q4:

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

  • A
  • B
  • C
  • D
  • E

Q5:

Which inequality has been graphed in the given figure?

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

Q6:

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

Q7:

Which inequality has been graphed in the given figure?

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

Q8:

Which of the following figures is the correct graph of 𝑦𝑥?

  • A
  • B
  • C
  • D
  • E

Q9:

What is the inequality graphed in the given figure?

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

Q10:

Which inequality has been graphed in the given figure?

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

Q11:

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

  • A
  • B
  • C
  • D
  • E

Q12:

Which of the following figures is the correct graph of 𝑦𝑥?

  • A
  • B
  • C
  • D
  • E

Q13:

Which inequality has been graphed in the given figure?