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