Graphing 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
Describe the number-line graph of x > 9: open or closed circle, and shading direction?
- Strict inequalities use an open circle; inclusive inequalities use a closed circle.
- Greater values lie to the right; smaller values lie to the left.
Answer: Open circle at 9; shade right.
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
Describe the number-line graph of x > 5: open or closed circle, and shading direction?
2
Describe the number-line graph of x ≤ 15: open or closed circle, and shading direction?
3
Describe the number-line graph of x > 16: open or closed circle, and shading direction?
4
Describe the number-line graph of x ≤ 13: open or closed circle, and shading direction?
5
Describe the number-line graph of x > 12: open or closed circle, and shading direction?
6
Describe the number-line graph of x ≤ 20: open or closed circle, and shading direction?
Answer Key
1. Open circle at 5; shade right.2. Closed circle at 15; shade left.3. Open circle at 16; shade right.4. Closed circle at 13; shade left.5. Open circle at 12; shade right.6. Closed circle at 20; shade left.