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Worksheet: Simple Inequalities on a Number Line

Q1:

What inequality is represented on the given figure?

  • A π‘₯ > βˆ’ 2
  • B π‘₯ β‰₯ βˆ’ 2
  • C π‘₯ < βˆ’ 2
  • D π‘₯ ≀ βˆ’ 2

Q2:

What inequality is represented on the given figure?

  • A π‘₯ < 0
  • B π‘₯ β‰₯ 0
  • C π‘₯ ≀ 0
  • D π‘₯ > 0

Q3:

What inequality is represented on the given figure?

  • A π‘₯ > βˆ’ 4
  • B π‘₯ β‰₯ βˆ’ 4
  • C π‘₯ < βˆ’ 4
  • D π‘₯ ≀ βˆ’ 4

Q4:

What inequality is represented on the given figure?

  • A π‘₯ < βˆ’ 4
  • B π‘₯ β‰₯ βˆ’ 4
  • C π‘₯ ≀ βˆ’ 4
  • D π‘₯ > βˆ’ 4

Q5:

What inequality is represented on the given figure?

  • A π‘₯ > 4
  • B π‘₯ β‰₯ 4
  • C π‘₯ < 4
  • D π‘₯ ≀ 4

Q6:

What inequality is represented on the given figure?

  • A π‘₯ < 4
  • B π‘₯ β‰₯ 4
  • C π‘₯ ≀ 4
  • D π‘₯ > 4

Q7:

What inequality is represented on the given figure?

  • A π‘₯ < βˆ’ 4
  • B π‘₯ > βˆ’ 4
  • C π‘₯ ≀ βˆ’ 4
  • D π‘₯ β‰₯ βˆ’ 4

Q8:

What inequality is represented on the given figure?

  • A π‘₯ > 4
  • B π‘₯ β‰₯ 4
  • C π‘₯ ≀ 4
  • D π‘₯ < 4

Q9:

What inequality is represented on the given figure?

  • A π‘₯ < 3
  • B π‘₯ > 3
  • C π‘₯ ≀ 3
  • D π‘₯ β‰₯ 3

Q10:

What inequality is represented on the given figure?

  • A π‘₯ < βˆ’ 1
  • B π‘₯ > βˆ’ 1
  • C π‘₯ ≀ βˆ’ 1
  • D π‘₯ β‰₯ βˆ’ 1

Q11:

Which part of the shown line represents the set of solutions to the inequality π‘₯ > 5 ?

  • AB
  • B A

Q12:

Which of the following inequalities have been represented on the number line?

  • A βˆ’ 1 ≀ π‘₯ < 2
  • B π‘₯ ≀ βˆ’ 1 and π‘₯ > 2
  • C π‘₯ < βˆ’ 1 or π‘₯ > 2
  • D π‘₯ ≀ βˆ’ 1 or π‘₯ > 2
  • E βˆ’ 1 < π‘₯ < 2

Q13:

Which part of the shown line represents the set of solutions to the inequality π‘₯ < 2 7 ?

  • A A
  • B B

Q14:

Which of the following diagrams represents the inequality βˆ’ 2 ≀ π‘₯ < 1 ?

  • A
  • B
  • C
  • D

Q15:

What inequality is represented on the given figure?

  • A βˆ’ 4 < π‘₯ ≀ 2
  • B βˆ’ 4 ≀ π‘₯ < 2
  • C βˆ’ 4 ≀ π‘₯ ≀ 2
  • D βˆ’ 4 < π‘₯ < 2

Q16:

Which inequality is represented on this number line?

  • A π‘₯ < βˆ’ 1
  • B π‘₯ > βˆ’ 1
  • C π‘₯ ≀ βˆ’ 1
  • D π‘₯ β‰₯ βˆ’ 1

Q17:

Which part of the shown line represents the set of solutions to the inequality 3 < π‘₯ < 5 6 ?

  • A C
  • B A
  • C B