Worksheet: Two-Variable Linear Inequalities

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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 𝑦≥𝑥?

  • 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 𝑦≤𝑥?

  • A
  • B
  • C
  • D
  • E

Q13:

Which inequality has been graphed in the given figure?