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Inequalities on a Number Line (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet: represent inequalities on a number line with open and closed circles, and read a number line back into inequality notation.

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Grade 9 · Math worksheet
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Math

Inequalities on a Number Line

Move between an inequality and its number-line picture: an open circle means the value is NOT included (< or >); a closed (filled-in) circle means it IS included (≤ or ≥).

  1. 1.
    Describe how the solution set x > -5 would be shown on a number line.
  2. 2.
    Describe how the solution set x < 6 would be shown on a number line.
  3. 3.
    Describe how the solution set x ≥ 4 would be shown on a number line.
  4. 4.
    Describe how the solution set x ≤ 6 would be shown on a number line.
  5. 5.
    Describe how the solution set x < -7 would be shown on a number line.
  6. 6.
    A number line shows an open circle at 7, shaded to the left. Write the inequality this represents.
  7. 7.
    A number line shows an open circle at 5, shaded to the right. Write the inequality this represents.
  8. 8.
    A number line shows a closed (filled-in) circle at 1, shaded to the right. Write the inequality this represents.
  9. 9.
    A number line shows a closed (filled-in) circle at -4, shaded to the left. Write the inequality this represents.
  10. 10.
    A number line shows an open circle at 6, shaded to the right. Write the inequality this represents.
  11. 11.
    Write the inequality shown by a number line with a closed circle at -6 and a closed circle at -1, shaded in between.
  12. 12.
    Write the inequality shown by a number line with a closed circle at 0 and a open circle at 9, shaded in between.
  13. 13.
    Write the inequality shown by a number line with a closed circle at -7 and a closed circle at -1, shaded in between.
  14. 14.
    Write the inequality shown by a number line with a closed circle at -6 and a open circle at 0, shaded in between.
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