Writing Inequalities Worksheets

Represent bounds, solve inequalities and describe the correct number-line solution.

Before you begin

Use signed arithmetic, substitute values and read expressions with variables.

Worked example

Write an inequality: a number x is greater than 9.

  1. Greater than excludes the boundary.

Answer: x > 9

Check your result using the method in the example before moving to the next question.

Choose your level

These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.

  • Easy: Start with the preview and follow the worked example.
  • Medium: Practice the same exercise types with a fresh numbered set.
  • Hard: Use another set to practice explaining and checking your answers.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Write an inequality: a number x is greater than 5.
2
Write an inequality: a number x is at most 15.
3
Write an inequality: a number x is greater than 16.
4
Write an inequality: a number x is at most 13.
5
Write an inequality: a number x is greater than 12.
6
Write an inequality: a number x is at most 20.

Answer Key

1. x > 52. x ≤ 153. x > 164. x ≤ 135. x > 126. x ≤ 20

Full worksheet sets