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

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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?

  • A𝑥≤4
  • B𝑥>4
  • C𝑥<4
  • D𝑥≥4

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
  • C𝑥≥−1
  • D𝑥≤−1

Q5:

What inequality is represented in the given figure?

  • A−7<𝑥≤3
  • B𝑥≤3
  • C𝑥≥3
  • 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 𝑥≤−3 in ℤ?

  • A−4
  • B−3
  • C−6
  • D−5
  • E−2

Q8:

Which number does not belong to the solution set of the inequality 𝑥≥0 in ℤ?

  • A2
  • B3
  • C−1
  • D1
  • E0

Q9:

Which inequality is represented in the given number line where 𝑥∈𝑍?

  • A𝑥<−2
  • B𝑥≤−2
  • C𝑥≥−3
  • D𝑥>−2
  • E𝑥≥−2

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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