Lesson Worksheet: Inequalities on a Number Line Mathematics • 6th Grade

In this worksheet, we will practice finding and deducing the one-variable linear inequality from a specific given interval represented on the number line.

Q1:

What inequality is represented on the given figure?

  • A𝑥4
  • B𝑥>4
  • C𝑥<4
  • D𝑥4

Q2:

Which part of the shown line represents the set of solutions to the inequality 𝑥>5?

  • AA
  • BB

Q3:

Which part of the shown line represents the set of solutions to the inequality 𝑥<27?

  • AB
  • BA

Q4:

Which inequality is represented on this number line?

  • A𝑥>1
  • B𝑥<1
  • C𝑥1
  • D𝑥1

Q5:

What inequality is represented in the given figure?

  • A7<𝑥3
  • B𝑥3
  • C𝑥3
  • D𝑥<3
  • E𝑥>3

Q6:

Fill in the blank: Using the given number line, the greatest integer in the solution set that satisfies 𝑥<8 is .

  • A𝐶
  • B𝐷
  • C𝐴
  • D𝐸
  • E𝐵

Q7:

Which number does not belong to the solution set of the inequality 𝑥3 in ?

  • A4
  • B3
  • C6
  • D5
  • E2

Q8:

Which number does not belong to the solution set of the inequality 𝑥0 in ?

  • A2
  • B3
  • C1
  • D1
  • E0

Q9:

Which inequality is represented in the given number line where 𝑥𝑍?

  • A𝑥<2
  • B𝑥2
  • C𝑥3
  • D𝑥>2
  • E𝑥2

Q10:

Which of the following figures represents the inequality with a set of numbers less than or equal to 3?

  • A
  • B
  • C
  • D
  • E

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